

Review Unit 8
Presentation
•
Mathematics
•
9th Grade
•
Hard
Danielle Petersen
Used 48+ times
FREE Resource
14 Slides • 14 Questions
1
Time to Review!!!

2
Multiple Choice
When is your Unit 8 Test?
Tomorrow
Wednesday
Friday
Monday
3
Multiple Choice
Which function is represented by the graph?
y=3x2
y=31x2
y=−3x2
y=−31x2
4
5
Multiple Choice
Which equation represents the axis of symmetry for the graph?
x = 1
x = 2.5
y = -1.25
y = -0.5
6
The axis of symmetry splits the graph in half. It is half way between the two x-intercepts.
7
Multiple Choice
The graph of y=x2 was transformed to create the graph of y=(x−3)2 . Which of these describes the transformation?
A vertical shift up 3 units
A vertical shift down three units
A horizontal shift to the left 3 units
A horizontal shift to the right 3 units
8
9
Multiple Choice
Which statement(s) describe the function f(x)=x2+6x−4 ?
I. The graph opens up II. The axis of symmetry is x = -3. III. The maximum is at (-3, -13)
II and III only
I and III only
I and II only
II only
10
I. The graph opens up (true)
II. The axis of symmetry is x=-3 (true)
III. The maximum is (-3, -13).
FALSE! It's the minimum!
11
Multiple Choice
The graph of f(x)=x2 is transformed to create h(x)=4f(x) . Which graph represents f and h?
12
13
Multiple Choice
Which quadratic function represents a parabola that has a vertex of (4, 10) and goes through (2, 0)?
y=25(x−4)2−10
y=25(x−4)2+10
y=25(x+4)2+10
y=25(x+4)2−10
14
When you graph the correct answer, it goes through the points described.
15
Multiple Choice
The graph of f(x)=x2 was transformed to make the graph of h(x)=−(2x)2 . Which of these describes the transformation?
Reflection over the x-axis and a horizontal stretch
Reflection over the y-axis and a horizontal stretch
Reflection over the x-axis and a horizontal shrink
Reflection over the y-axis and a horizontal shrink
16
The transformed graph (blue) is reflected over the x-axis. Graphs will NEVER be reflected over y. The graph is also wider, which is called horizontal stretch.
17
Multiple Choice
What is the range of the graph below?
All real numbers
All real numbers less than 2 and greater than -2
y > -9
y < -9
18
The range refers to y. The minimum of the graph is (0, -9), so all y-values are -9 and greater.
19
Multiple Choice
The graph shows the height in feet of an object above the ground t seconds after it was launched. What is the equation?
h(t)=−16t2−81t−64
h(t)=−16t2+81t−64
h(t)=−16t2−81t
h(t)=−16t2+81t
20
When you graph each of the possible equations, the correct answer matches the graph that was shown.
21
Multiple Choice
How does the graph of q(x)=−41x2 compare to the parent function?
q(x) opens up and is narrower
q(x) opens up and is wider
q(x) opens down and is narrower
q(x) opens down and is wider
22
The graph of q(x) (purple) is clearly wider and opens the opposite direction compared to the parent function.
23
Multiple Choice
The profit of a donut shop can be represented by y=−0.08(x−50)2+200 where x is the donuts sold and y is the profit. What is the maximum profit of this donut shop?
$50
$100
$200
$80
24
When you graph it, the maximum is at (50, 200). This represents 50 donuts, which costs $200. $200 is therefore the maximum profit.
25
Multiple Choice
Jordan wants to determine a quadratic function with a vertex of (5, 4) that passes through (0, 16.5). He writes his answer in vertex form. What will be the values of a, h, and k?
a = 1/2; h=-5, k=4
a = 1/2; h=5, k=4
a = 1; h=-5, k=4
a = 1; h=5, k=4
26
27
Fill in the Blanks
What is the y-value of the y-intercept in this graph?
Type answer...
28
The graph passes through (0, -2) on the y-axis. The y-value of this intercept is -2.
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