Transformation of Quadratics

What is the parent function of a quadratic?

Which transformation transforms the graph of

f(x) = x² to the graph of g(x) = (x + 4)²?

• shift 4 units up

• shift 4 units down

• shift 4 units to the left

• shift 4 units to the right

How did we transform from y=x² to

y = -3x²

• reflection in x-axis and shifts down

• reflection x-axis and narrower

• wider

• reflection x-axis and wider

If the function f(x) = x² is changed so that a new function is created, g(x) = 5x², how does g(x) compare to f(x)?

• The graph of g(x) is wider than the graph of f(x)

• The graph of g(x) is narrower than the graph of f(x)

• The graph of g(x) is shifted 5 units up above f(x)

• The graph of g(x) is shifted 5 units down below f(x)

What is the green dashed line called?

• roots or x-intercepts

• parabola

• axis of symmetry

• vertex

Tags

CCSS.HSF-IF.C.7A

• Reflection across x-axis

• Horizontal translation 2 units left

• vertical dilation by scale factor of 3

• Vertical translation 4 units down

• Horizontal translation 2 units right

What is the equation for the axis of symmetry?

• y=3
• x=3
• x=5
• x=1

Tags

CCSS.HSF-IF.C.7A

Find the y-intercept of f(x) = 2x² - 2x + 1

• 2
• -2
• 1
• -1

Tags

CCSS.HSF-IF.C.7A

Does y = -4x² have a maximum or minimum value?

• maximum
• minimum

Tags

CCSS.HSF-IF.C.7A

Determine the vertex of the parabola:
y = 5x² - 20x + 13

• (5, -7)
• (-2, -7)
• (2, -7)
• (-7, -2)