A
What is the vertex of the following quadratic function?
y=(x+2)^2-7
Vertex: (-2, -7)
Re-write into Vertex Form:
y=-4x^2-6
y=-4(x-0)^2-6
What is the parent quadratic function?
y=x^2
Describe the transformations from the parent graph.
y=-5(x-6)^2-4
Reflection, Vertical stretch by 5, Right 6, Down 4
What is the y-intercept of the quadratic function?
y=-5x^2+2x-3
Y-Intercept: (0,-3)
Classify the Polynomial by Degree and # of Terms
x^2+3x-8
Quadratic Trinomial
Re-Write in Vertex Form:
y=(x+5)^2
y=(x+5)^2+0
What is the formula for Vertex Form?
y=a(x-h)^2+k
Multiply the Binomials Using Box Method
(2x+3)(3x-6)
6x^2-3x-18
Does the following quadratic function have a maximum or minimum? How can you tell?
y=8(x-2)^2-4
It has a Minimum, because the "A" value is positive, therefore the parabola opens up, so the vertex is the lowest point.
What is the vertex?
y=-(x+14)^2
Vertex: (-14,0)
Re-Write in Vertex Form:
y=-4x^2-12
y=-4(x-0)^2-12
What is the Standard Form of the quadratic function?
y=ax^2+bx+c
Describe the transformations from the parent graph.
y=9(x-4)^2+11
Vertical stretch by 9, Right 4, Up 11
If the vertex is (4, -5), what is the Axis of Symmetry?
x=4
What is the vertex of the following quadratic function?
y=-(x-4)^2+4
Vertex: (4, 4)
SEMESTER 1 REVIEW: Linear Equations
What is the formula for slope-intercept form?
y=mx+b
What is the formula to find the Axis of Symmetry?
x=-b/(2a)
Identify the transformations being applied to the parent quadratic function.
y=-3(x-4)^2+2
Reflected over X-Axis, Vertical stretch by 3, Right 4, Up 2.
Factor:
4a^2b+24ab
4ab(a+6)
What is the vertex of the following quadratic function?
y=-8x^2-9
Vertex: (0,-9)
Re-Write in Vertex Form:
y=7x^2-3
y=7(x-0)^2-3
What is the shape of the graph of a quadratic function called?
Parabola
Factor:
7x+35
7(x+5)
What is the y-intercept of the quadratic function?
y=2x^2+4x-4
Y-Intercept: (0, -4)