Transformations of Parabolic Functions

Practice Questions

Algebra II › Transformations of Parabolic Functions

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1

Consider the following two functions:

$f(x) = x^{2}$ and $g(x) = (x+3)^{2} - 6$

How is the function shifted compared with ?

2

$Describe\ the\ translations\ for\ the\ graph\ of\ the\ parabola\ y=(x-3)^2$

$compared\ with\ the\ parent\ function\ y=x^2.$

3

Question

If the function is depicted here, which answer choice graphs ?

4

Describe the translation in

from the parent function

.

5

Translate the parabola up 6 units and right 3.

6

Shift up one unit. What is the new equation?

7

Given the parabola , what is the new equation if the parabola is shifted left two units, and up four units?

8

Transform the following parabola: .

Shift up and to the left .

9

Shift the parabola three units to the right. What is the new equation?

10

Select the function that accuratley fits the graph shown.

Graph_1

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