

Quadratic Function Review
Presentation
•
Mathematics
•
9th Grade
•
Medium
Standards-aligned
Susan Chandler
Used 56+ times
FREE Resource
8 Slides • 15 Questions
1
Quadratic Function Review
Key features, graphing, equations and transformations

2
Key Features of Standard Form
'a' value determines how parabola opens
'c' value is the y-intercept
Axis of Symmetry Equation -
x=2a−bUse x value to find y value of vertex
3
Multiple Choice
Which way does the parabola open?
y = 3x2- 6x + 4
up
down
4
Multiple Choice
5
Multiple Choice
6
Multiple Choice
7
Key features from Graph
Vertex - high or low point
Maximum - when vertex is the high point
Minimum - when vertex is the low point
Domain - Left to Right (x-axis)
Range - low to high (y-axis)
8
Multiple Choice
f(x) = -(x + 3)2 - 5
9
Multiple Choice
Which of the statements about the graph is FALSE?
The vertex is a maximum
There are two zeros at x = -3 and x = 3
The y-intercept is (0, 18)
The range is y ≥ 18
10
Multiple Choice
What is the vertex?
(-3, 0)
(3, 0)
(0, 18)
(18, 0)
11
Multiple Choice
State the domain and range.
Domain: All real numbers, Range: y ≥ -9
Domain: All real numbers, Range: All real numbers
Domain: x ≥ -8, Range: y ≥ -9
Domain: x ≥ -8, Range: All real numbers
12
Vertex Form
Vertex (h,k)
When pulling out a coordinate - h is the opposite sign
Axis of symmetry - x=h, opposite sign
13
Multiple Choice
Given the equation y = 3(x + 5)2 - 4,
what is the axis of symmetry?
x=5
x=-5
x=4
x=-4
14
Multiple Choice
Given the equation y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
(5, -4)
(-5, -4)
(-15, -4)
(15, -4)
15
Transformations from Vertex Form
a - shows stretch/dilation and reflection
h - positive = left and negative = right
k - positive = up and negative = down
16
Vertex Form
Vertex - (2,1)
Axis of Symmetry - x=2
Reflected over x-axis, compressed by 3/4
Right 2
Up 1
17
Multiple Choice
18
Multiple Choice
19
Multiple Choice
What steps transform the graph y = x2 to y = -1/2(x-4)2 + 1?
Compressed by 1/2, shifted 4 units right and 1 unit up
Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up
Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up
Stretched by 1/2, shifted 4 units right and 1 unit down
20
Factored Form
The x-intercepts are in parentheses
OPPOSITE sign
points are (-3,0) and (2,0)
Other names for x-intercepts are zeros and roots
21
Multiple Choice
What are the
x-intercepts of the function
f(x)= (x - 2)(x + 3)?
(-2,0) and (3,0)
(2,0) and (-3,0)
(0,2) and (0,3)
(0,-2) and (0,3)
22
Quadratic Tables
Look for 2nd difference
Find how y changes, then how those values change
23
Multiple Choice
What is the 2nd difference?
-3
-2
2
3
Quadratic Function Review
Key features, graphing, equations and transformations

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