Vertex Form
What is the axis of symmetry for this equation?
y=-3(x-4)^2+2
x = 4
What is the vertex of the parabola?
y=x^2-4x+1
Vertex: (2, -3)
What is the parent quadratic function?
y=x^2
What are the x intercepts of this equation?
y=(x+3)(x-10)
-3 and 10
What is the vertex of the following quadratic function?
y=(x+2)^2-7
Vertex: (-2, -7)
Does the following parabola have a maximum or minimum value?
y=-2x^2-8x+3
Maximum Value
What is the following form of the quadratic function called?
y=a(x-h)^2+k
Vertex Form
What is the axis of symmetry for the following equation?
y=(x+4)(x+12)
x=-8
If the vertex is (4, -5), what is the Axis of Symmetry?
Axis of Symmetry:
x=4
What is the y intercept of
y=x^2-8x+19
19
What is the Standard Form of the quadratic function?
y=ax^2+bx+c
What is the axis of symmetry for the following equation?
y=(x-3)(x-7)
x=5
Does the following quadratic function have a maximum or minimum? What is that max or min value?
y=-3(x+2)^2-4
Maximum Value of -4
Does the following equation have a minimum or maximum?
y=2x^2-4x+6
y=-2x^2-4x+6
What task is easier to complete if you have the quadratic function in Vertex Form versus Standard Form?
Graphing the Function
or find the vertex
Write an equation for a quadratic function with the x intercepts of 8 and -2 and a = 1.
y=(x+2)(x-8)
Does the following quadratic function have a maximum or minimum? What is that max or min value?
y=1/2x^2+3
Minimun Value of 3
What is the y-intercept of the quadratic function?
y=2x^2+4x-4
Y-Intercept: (0, -4)
What is the graph (shape of the graph) of a quadratic function called?
Parabola
Write an equation for the quadratic function with x intercepts of -3 and 9 and a=-2
y=-2(x+3)(x-9)
Write the equation of a parabola with the given vertex and point located on the parabola in vertex form.
Vertex: (-3, 7)
a = -12
y=-12(x+3)^2+7
What is the vertex of the parabola?
y=3x^2+18x+32
Vertex: (-3, 5)
What is the "intercept Form" of the equation?
y=a(x-p)(x-q)
What is the vertex of the equation:
y=2(x-1)(x-5)
(3,-8)