Quadratic Transformations Review

The function f(x) = x² was transformed to to create g(x) = f(x + 2) - 9.

Choose the correct answer from each drop down box to complete the sentence.

The graph of f was translated 2 units ​ ​ (a)   and 9 units ​ (b)   to create the graph of function g.

• left

• down

• right

• up

The blue graph was transformed to create the red graph. Which function best represents the red graph?

• h(x) = (x - 3)²

• h(x) = x² - 3

• h(x) = -(x + 3)²

• h(x) = x² + 3

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7A

The graph f(x) = x² was translated 7.5 units to the right to create the graph of function g. Which function represents g?

• g(x) = (x - 7.5)²

• g(x) = (x + 7.5)²

• g(x) = x ²- 7.5

• g(x) = x ²+ 7.5

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7A

Given the equation y = (x - 6)² + 2, what is the vertex of the parabola? (​ ​ (a)   , ​ (b)   ​ )

• -2

• 6

• 2

• -6

Which answer choice describes how the graph of f(x) = x² was transformed to create the graph of r(x) = x² - 5?

• A vertical shift up

• A horizontal shift to the left

• A vertical shift down

• A horizontal shift to the right

What is the equation of this graph?

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

Which of the following is the correct equation for the given graph?

• y = x² - 4x + 3

• y = -x² - 4x - 5

• y = x² + 4x + 3

• y = -x² + 4x - 5