Transformations of Quadratic Graphs and Writing the Equations

Write an equation in Factored Form, whose solutions are 7 and 3.

• y = (x - 7)(x - 3)

• y = (x + 7)(x + 3)

• y = (x + 7)(x - 3)

• y = (x - 7)(x + 3)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Write the equation for the graph in factored form.

Tags

CCSS.HSF-IF.C.7A

Write the equation for the quadratic in factored form.

Write the equation for the graph in factored form.

Tags

CCSS.HSF-IF.C.7A

Write the equation of this transformation: reflection across x-axis, left 2, down 5

• y= -(x+2)²+5

• y= -(x+2)²

• y= (x-2)²-5

• y= -(x+2)²-5

Tags

A1.FBF.3

The graph of the function f(x) = x² was transformed to form the graph of g(x) = (x – 7)² + 8. Which transformations occurred to create the graph of g?

What tool(s) can we use to solve this?

• A shift of 7 units to the right and 8 units up.

• A shift of 7 units to the left and 8 units up.

• A shift of 7 units to the right and 8 units down.

• A shift of 7 units to the left and 8 units down.

Answer explanation

Tool: Calculator Graph & Describe movement/transformations.

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x)=3x²

• g(x)=1/3x²

• g(x) = x² - 3

• g(x) = (x-3)²

What are the transformations?y=(x-2)²+4 (Choose ALL that apply.)

• shift right 2

• shift left 2

• shift up 4

• shift down 4

Tags

A1.FBF.3

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = 2x²

• g(x) = 1/2x²

• g(x) = x² + 2

• g(x) = (x + 2)²

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x)=3x²

• g(x)=1/3x²

• g(x) = x² - 3

• g(x) = (x-3)²