Algebra Quadratic Transformations

The graph of f(x)= x² was transformed to create the graph of g(x) = (x - 7.5)². Which of these describes the transformation?

• A horizontal shift to the right 7.5 units

• A horizontal shift to the left 7.5 units

• A vertical shift down 56.25 units

• A vertical shift up 56.25 units

A projectile is launched into the air from the ground. The table shows the height of the projectile, h(t), at different times. Based on the table, which function can best be used to model this situation?

• h(t)= 99t² + 858

• h(t)= -4.9t² + 295t + 0.6

• h(t)= -4.9t² +295t + 2

• h(t)= 99t² + 1,470.3

If p(x) = 5(x² + 1) + 16, what is the value of p(11)?

• 690

• 736

• 622

• 626

Tags

CCSS.HSF.IF.A.2

f(x) = x² is transformed to create the graph g(x) = -f(x) + 3. Which statement below describes this transformation?

• reflection over the y axis and vertex shifts right 3 units

• reflection over the x axis and vertex shifts left 3 units

• reflection over the y axis and vertex shifts up 3 units

• reflection over the x axis and vertex shifts up 3 units

The graph of quadratic function p is shown on the grid.

If k(x) = x² and p(x) = k(x) + n, what is the value of n?

• 6

• -6

• 3

• -3

The graph of a quadratic function is shown on the grid. What function is best represented by this graph?

(a)  

•  

•  

•  

Tags

CCSS.HSF-IF.C.7A

If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2

Tags

CCSS.Math.Content.7.EE.A.2

Match the description to its equation.
Moves up 2
Moves left 4

• A

• B

• C

• D

Quadratic functions p and q are graphed on the grid. The graph of p was transformed to create the graph of q. Which function best represents the graph of q?