Quadratics - Stretch and compression

How did we transform from f(x) =x²

to

g(x) = -3x²

• reflection in x-axis and vertical shift down

• reflection in x-axis and vertical stretch

• horizontal stretch

• reflection in x-axis and vertical compression

Does the graph of this equation widen or narrow from the parent function?
y=  5(x - 5)² + 3

• widen
• narrow
• neither

What is the vertex?

• (0, - 1)
• (0, 0.5)
• (-1, 0)
• (0.5, 0)

What is the range of this function?

• -4 ≤ y ≤ 5
• -1 ≤ x ≤ 3
• All Real Numbers
• y ≥ -4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the green dashed line called?

• roots or x-intercepts

• parabola

• axis of symmetry

• vertex

Tags

CCSS.HSF-IF.C.7A

What are the green dots called? (Choose ALL that apply.)

• solutions

• axis of symmetry

• zeroes

• roots

• y-intercepts

Tags

CCSS.HSF-IF.C.7A

Which of the following describes the transformations done to the quadratic parent function of y = x²  to obtain y = 2x² + 4 ?

• Vertical Stretched by 2 and translation up 4
•  Vertical Compressed by 2 and translation up 4
• Horizontal Stretched by 2 and translation left 4
• Horizontal Compressed by 2 and translation right 4

What describes the effect on the graph of the equation y = 3x² when it is changed to y = -¾x²?

• The graph is congruent and is translated down.
• The graph is wider and opens downward.
• The graph is congruent and is translated up.
• The graph is narrower and opens downward.

Which quadratic is the narrowest graph?

• y = 3x²
• y = 4x²
• y = 2x²

Which quadratic graph is the widest?

• y = 5x²
• y = -¼x²
• y = -½x²
• y = 5x²