x-intercept(s): y-intercept: domain: axis of symmetry: zero(s): range: what are the characteristics...

x-intercept(s):

y-intercept:

Domain:

Axis of Symmetry:

Zero(s):Range:

What are the Characteristics of Quadratic Functions??MM2A3c. Investigate and explain characteristics of quadratic functions, including domain, range, vertex, axis of symmetry, zeros, Intercepts, extrema, intervals of increase and decrease, and rates of change.

Parent Quadratic Function: f(x) = x2

Interval of Increase:

Extrema:

Rate of Change:Interval of Decrease:

Vertex:

x-intercept(s):

y-intercept:

Domain: X-ValuesIf continuous, all real numbers. All input values.

Axis of Symmetry:

Zero(s):Range:

What are the Characteristics of Quadratic Functions??MM2A3c. Investigate and explain characteristics of quadratic functions, including domain, range, vertex, axis of symmetry, zeros, Intercepts, extrema, intervals of increase and decrease, and rates of change.

Parent Quadratic Function: f(x) = x2

Interval of Increase:

Extrema:

Rate of Change:Interval of Decrease:

Vertex:

X-intercept(s):

Y-intercept:

Domain: X-ValuesIf continuous, all real numbers. All input values.

Axis of Symmetry:

Zero(s):Range: Y-values. Output values.

What are the Characteristics of Quadratic Functions??MM2A3c. Investigate and explain characteristics of quadratic functions, including domain, range, vertex, axis of symmetry, zeros, Intercepts, extrema, intervals of increase and decrease, and rates of change.

Parent Quadratic Function: f(x) = x2

Interval of Increase:

Extrema:

Rate of Change:Interval of Decrease:

Vertex:

x-intercept(s):

y-intercept:

Domain: X-ValuesIf continuous, all real numbers. All input values.

Axis of Symmetry

Zero(s):Range: Y-values. Output values.

What are the Characteristics of Quadratic Functions??MM2A3c. Investigate and explain characteristics of quadratic functions, including domain, range, vertex, axis of symmetry, zeros, Intercepts, extrema, intervals of increase and decrease, and rates of change.

Parent Quadratic Function: f(x) = x2

Interval of Increase: X-values where the graph is going up from left to right.

Extrema:

Rate of Change:Interval of Decrease:

Vertex:

x-intercept(s):

y-intercept:

Domain: X-ValuesIf continuous, all real numbers. All input values.

Axis of Symmetry:

Zero(s):Range: Y-values. Output values.

What are the Characteristics of Quadratic Functions??MM2A3c. Investigate and explain characteristics of quadratic functions, including domain, range, vertex, axis of symmetry, zeros, Intercepts, extrema, intervals of increase and decrease, and rates of change.

Parent Quadratic Function: f(x) = x2

Interval of Increase: X-values where the graph is going up from left to right.

Extrema:

Rate of Change:Interval of Decrease: X-values where the graph is going down from left to right.

Vertex:

x-intercept(s):

y-intercept:

Domain: X-ValuesIf continuous, all real numbers. All input values.

Axis of Symmetry

Zero(s):Range: Y-values. Output values.

What are the Characteristics of Quadratic Functions??MM2A3c. Investigate and explain characteristics of quadratic functions, including domain, range, vertex, axis of symmetry, zeros, Intercepts, extrema, intervals of increase and decrease, and rates of change.

Parent Quadratic Function: f(x) = x2

Interval of Increase: X-values where the graph is going up from left to right.

Extrema: Maximum or Minimum Y-values of the function.

Rate of Change:Interval of Decrease: X-values where the graph is going down from left to right.

Vertex:

x-intercept(s):

y-intercept:

Domain: X-ValuesIf continuous, all real numbers. All input values.

Axis of Symmetry:

Zero(s):Range: Y-values. Output values.

What are the Characteristics of Quadratic Functions??MM2A3c. Investigate and explain characteristics of quadratic functions, including domain, range, vertex, axis of symmetry, zeros, Intercepts, extrema, intervals of increase and decrease, and rates of change.

Parent Quadratic Function: f(x) = x2

Interval of Increase: X-values where the graph is going up from left to right.

Extrema: Maximum or Minimum Y-values of the function.

Rate of Change: AKA slope! Variable due to curve

Interval of Decrease: X-values where the graph is going down from left to right.

Vertex:

x-intercept(s):

y-intercept: Where the graph crosses the Y-axis.

Domain: X-ValuesIf continuous, all real numbers. All input values.

Axis of Symmetry:

Zero(s):Range: Y-values. Output values.

What are the Characteristics of Quadratic Functions??MM2A3c. Investigate and explain characteristics of quadratic functions, including domain, range, vertex, axis of symmetry, zeros, Intercepts, extrema, intervals of increase and decrease, and rates of change.

Parent Quadratic Function: f(x) = x2

Interval of Increase: X-values where the graph is going up from left to right.

Extrema: Maximum or Minimum Y-values of the function.

Rate of Change: AKA slope! Variable due to curve

Interval of Decrease: X-values where the graph is going down from left to right.

Vertex:

x-intercept(s): Where the graph crosses the X-axis.

y-intercept: Where the graph crosses the Y-axis.

Domain: X-ValuesIf continuous, all real numbers. All input values.

Axis of Symmetry:

Zero(s):Range: Y-values. Output values.

What are the Characteristics of Quadratic Functions??MM2A3c. Investigate and explain characteristics of quadratic functions, including domain, range, vertex, axis of symmetry, zeros, Intercepts, extrema, intervals of increase and decrease, and rates of change.

Parent Quadratic Function: f(x) = x2

Interval of Increase: X-values where the graph is going up from left to right.

Extrema: Maximum or Minimum Y-values of the function.

Rate of Change: AKA slope! Variable due to curve

Interval of Decrease: X-values where the graph is going down from left to right.

Vertex:

x-intercept(s): Where the graph crosses the X-axis.

y-intercept: Where the graph crosses the Y-axis.

Domain: X-ValuesIf continuous, all real numbers. All input values.

Axis of Symmetry:

Zero(s):Range: Y-values. Output values.

What are the Characteristics of Quadratic Functions??MM2A3c. Investigate and explain characteristics of quadratic functions, including domain, range, vertex, axis of symmetry, zeros, Intercepts, extrema, intervals of increase and decrease, and rates of change.

Parent Quadratic Function: f(x) = x2

Interval of Increase: X-values where the graph is going up from left to right.

Extrema: Maximum or Minimum Y-values of the function.

Rate of Change: AKA slope! Variable due to curve

Interval of Decrease: X-values where the graph is going down from left to right.

Vertex: AKA Turning Point. The lowest/highest point on the graph. Where the graph changes direction.

x-intercept(s): Where the graph crosses the X-axis.

y-intercept: Where the graph crosses the Y-axis.

Domain: X-ValuesIf continuous, all real numbers. All input values.

Axis of Symmetry:

Zero(s): Same as X-intercept. Point where graph TOUCHES or crosses the x-axis.

Range: Y-values. Output values.

What are the Characteristics of Quadratic Functions??MM2A3c. Investigate and explain characteristics of quadratic functions, including domain, range, vertex, axis of symmetry, zeros, Intercepts, extrema, intervals of increase and decrease, and rates of change.

Parent Quadratic Function: f(x) = x2

Interval of Increase: X-values where the graph is going up from left to right.

Extrema: Maximum or Minimum Y-values of the function.

Rate of Change: AKA slope! Variable due to curve

Interval of Decrease: X-values where the graph is going down from left to right.

Vertex: AKA Turning Point. The lowest/highest point on the graph. Where the graph changes direction.

x-intercept(s): Where the graph crosses the X-axis.

y-intercept: Where the graph crosses the Y-axis.

Domain: X-ValuesIf continuous, all real numbers. All input values.

Axis of Symmetry: Line that cuts graph into to identical pieces.

Zero(s): Same as X-intercept. Point where graph TOUCHES or crosses the x-axis.

Range: Y-values. Output values.

What are the Characteristics of Quadratic Functions??MM2A3c. Investigate and explain characteristics of quadratic functions, including domain, range, vertex, axis of symmetry, zeros, Intercepts, extrema, intervals of increase and decrease, and rates of change.

Parent Quadratic Function: f(x) = x2

Interval of Increase: X-values where the graph is going up from left to right.

Extrema: Maximum or Minimum Y-values of the function.

Rate of Change: AKA slope! Variable due to curve

Interval of Decrease: X-values where the graph is going down from left to right.

Vertex: AKA Turning Point. The lowest/highest point on the graph. Where the graph changes direction.

A.Domain:___________________Range:____________________Vertex:____________________AOS:______________________Zero(s):____________________IntervalOf Increase:________________IntervalOf Decrease:_______________Extrema:___________________X-intercepts:________________Y-Intercepts:________________Average Rate ofChange on theInterval (0, -3) to (2, 1) :_______

Characteristics of Quadratics

B.Domain:___________________Range:____________________Vertex:____________________AOS:______________________Zero(s):____________________IntervalOf Increase:________________IntervalOf Decrease:_______________Extrema:___________________X-intercepts:________________Y-Intercepts:________________Average Rate ofChange on theInterval [-4, -2]:_______

Characteristics of Quadratics

C.Domain:___________________Range:____________________Vertex:____________________AOS:______________________Zero(s):____________________IntervalOf Increase:________________IntervalOf Decrease:_______________Extrema:___________________X-intercepts:________________Y-Intercepts:________________Average Rate ofChange on theInterval [3, 4]:_______

Characteristics of Quadratics