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Transforming Other Parent Graphs

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Last updated over 5 years ago
19 questions
Note from the author:
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Transformations unit practice test.
Question 1
1.

Factor completely: -15{x}^2 +5x-20

Question 2
2.

Factor the following quadratic expression:

Question 3
3.

Factor completely: 16{x^2}-81

Question 4
4.

Factor completely: {x^3}+64

Question 5
5.

Rewrite the quadratic equation y=(x-3)(x+2) in standard form by multiplying it out.

Question 6
6.

Rewrite the quadratic equation y=2{x^2} -2x-24 in intercept form by factoring.

Question 7
7.

Rewrite the quadratic equation y=3{x}^2-18x+4 in vertex form by completing the square.

Question 8
8.

Rewrite the quadratic equation y=(x+5)(x-1) in vertex form by multiplying it out to standard form first and then completing the square.

Question 9
9.

Sketch the graph of the parabola defined by y=-2(x+3)(x-5).

Question 10
10.

Sketch the graph of the parabola defined by the equation y=3{x}^2+6x-1

Question 11
11.

Sketch the graph of the parabola given by the equation y=\frac{1}{2}{(x+2)}^2-4

Question 12
12.

Sketch the graph of the curve given by the equation y=3{x}^3-2

Question 13
13.

Explain the transformation that occurs to the parent graph for the curve defined by

Question 14
14.

Question 15
15.

Given the function shown in the graph, sketch the transformation of the function given by the equation

Question 16
16.

Given the graph of f(x) shown and the function f(x)=\sqrt x sketch the transformed curved defined by y=-f(x+1)

Question 17
17.

Sketch the graph of the function given by f(x)=\frac{1}{x-3} +2

Question 18
18.

Josue uses a quadratic equation to represent the profits of his company. Which form of the quadratic (intercept, standard, or vertex) would be the easiest version for him to find his maximum profit? How would you explain this to Josue?

Question 19
19.

Briefly describe the advantages of the other two forms of the quadratic equation.

Select all that apply to describe the transformation of the parent function given the equation of the curve
reflection across the x-axis
reflection across the y-axis
Vertical stretch by a factor of 2
Vertical compression by a factor of 2
horizontal shift 4 left
horizontal shift 4 right
horizontal shift 3 left
horizontal shift 3 right
vertical shift 4 up
vertical shift 4 down
vertical shift 3 up
vertical shift 3 down