Number operation review 9 docx

Practice Question

What is the equation represented in the graph above?

a. y x2  3

b. y x2  3

c. y (x  3)2

d. y (x  3)2

e. y (x  1)3

Answer

b. This graph is identical to a graph of y x2 except it is moved down 3 so that the parabola intersects the

y-axis at 3 instead of 0. Each y value is 3 less than the corresponding y value in y x2, so its equation

is therefore y x2  3.

x

y

123456

1

2

3

4

5

–1

–2

–6

–5

–4

–3

–6 –5 –4 –3 –2 –1

x

y

1234567

1

2

3

4

5

–1

–2

–3

–7 –6 –5 –4 –3 –2 –1

–ALGEBRA REVIEW–

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