Translating Quadratic Equations

Which of the following expression is equivalent to 25x² - 4/9?

• √(5x - 2/3)

• x(5x - 2/3)

• (5x + 2/3)(5x - 2/3)

• (25x + 2/3)(25x - 2/3)

Tags

CCSS.HSA.APR.C.4

Which of the following equations could represent a parabola that has a minimum value of -5 and whose axis of symmetry is the line x = 1?

• y = (x - 5)² + 1

• y = (x + 5)² + 1

• y = (x - 1)² - 5

• y = (x + 1)² - 5

Tags

CCSS.HSF-IF.C.7A

What is the equation for this parabola in factored form?

• y=(x+2)(x-1)

• y=(x-2)(x+1)

• y=(x-2)(x-1)

• y=(x+2)(x+1)

Tags

CCSS.HSF-IF.C.7A

Find the roots of this equation
x² + x - 6 = 0

• 4, -1

• 3, -2

• -6, 1

• 2, -3

Tags

CCSS.HSA-REI.B.4B

Compared to the graph of f(x) = x², the graph of

g(x) = (x -2 )² + 3 is the result of translating f(x)

• 2 units up and 3 units right

• 2 units down and 3 units up

• 2 units right and 3 units up

• 2 units left and 3 units right

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4

• y = (x + 4)²

• y = (x - 4)²

• y = 4x²

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 graph of quadratic parent function f was transformed to create the graph of g(x) = f(x + 4) - 9. Complete the sentence about the transformation. The graph of f is translated 4 units​ (a)   ​ and 9 units ​ (b)   to create the graph of function g.

• left

• down

• right

• up

• reflected

• left

• up

• (-3,6)

• right

• down

• (3,6)

• (-3,-6)

• (3,-6)

Describe the translation of f(x) = x² 
when g(x) = (x + 5)² - 2.

• Right 5 and down 2

• Left 5 and down 2

• Right 5 and up 2

• Left 5 and up 2