Quadratic Functions

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What are the x-intercepts of the graph of the function f(x) = x2 + 4x - 12?

(-6, 0), (2,0)

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x - 3)? (0,6) (0,-6) (6,0) (-6,0)

(-6,0)

What is the y-intercept of the quadratic function f(x) = (x - 8)(x + 3)?

(0,-24)

What are the x-intercepts of f(x) = (x - 2)(x - 4)?

(2,0) and (4,0)

What is the vertex of the equation g(x) = (x - 5)^2 + 2

(5, 2)

What value represents the vertical translation from the graph of the parent function f(x) = x^2 to the graph of the function g(x) = (x + 5)^2 + 3?

3

quadratic function

A function in which the greatest power of the variable is 2.

Which are characteristics of the graph of the function f(x) = (x + 1)^2 + 2?

Shift left 1 and up 2

Write a function that represents a shift down of 6 units and left 8 units.

f(x) = (x - 8)^2 - 6

What is the equation of the translated function that is reflected, shifts left 1, and up 5?

f(x) = -(x + 1)2 + 5

Write a function that contains a reflection, shift right 4, and up 5?

f(x) = -(x - 4)^2 + 5

Parabola

The shape of the graph of a quadratic function

f(x)=a(x-h)^2+k

Vertex of a quadratic function (formula)

minimum parabola

bottom point of a parabola that opens upwards

Which best describes the transformation that occurs from the graph of f(x) = x^2 to g(x) =1/2(x - 2)^2 + 3?

compress 1/2, right 2, up 3

Write the equation of a quadratic with vertex of the function g(x) located at (9, -8).

g(x) = (x+9)^2 -8

Justine graphs the function f(x) = (x - 7)^2 - 1.

left 7 units, up 2 units

Which best describes the transformation from the graph of f(x) = x^2 to the graph of f(x) = (x - 3)^2 - 1?

right 3 units, down 1 unit

maximum of a parabola

the highest point; the vertex

What is the axis of symmetry for the quadratic f(x) = -(x + 8)^2 - 1?

x = -8

What is the axis of symmetry and vertex for the function f(x) = 3(x - 2)^2 + 4?

x = 2 Vertex: (2, 4)

What is the axis of symmetry of h(x) = 6x^2 − 60x + 147?

x = 5

What is the axis of symmetry of the function f(x) = -(x + 9)(x - 21)? The axis of symmetry is x =

x = 6


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