Quadratic Functions
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
