Comparing Quadratic Equations to the Parent Function

The graph of quadratic parent function f was transformed to create a graph of g(x) = f(x+3) - 5. Which graph represents g?

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The graph of quadratic parent function f was transformed to create a graph of g(x) = f(x+3). Which graph represents g?

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The graph of quadratic parent function f was transformed to create the graph of g(x) = f(x-7.5). Which of these describes this transformation?

• A horizontal shift to the left 7.5 units

• A horizontal shift to the right 7.5 units

• A vertical shift down 56.25 units

• A vertical shift up 56.25 units

The graph of quadratic parent function f was transformed to create a graph of h(x) = 2f(x). Which graph represents this transformation?

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Which parent function matches the graph?

• y = |x|
• y = ∛(x)
• y = x²
• y = a⋅b^x

Which of the following shows the quadratic transformation from the parent function f(x) = x² ?

• g(x)=f(x) + 2

• g(x) = f(x-2) + 1

• g(x)= f(x+2) - 1

• g(x)= f(x+2)² + 1

Which of the following shows the quadratic transformation from the parent function f(x) = x² ?

• g(x) = −3f(x+3)

• f(x) = −3f(x) + 3

• f(x) = −f(3x−3)

• f(x) = −3f(x) − 3

Solve by completing the square.
x² + 4x= 12

• x = 2 and -2
• x = -6 and 2
• x = 6 and -2
• x = 1 and -1

Tags

CCSS.HSA-REI.B.4B

Solve the equation: 
5x² - 35x + 60 = 0

• x = 3,  -4
• x = -3,  4
• x = 3,  4
• x = -3,  -4

Tags

CCSS.HSA-REI.B.4B

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)