Transformation of quadratics part 3

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

• widen
• narrow
• neither

Tags

CCSS.HSF.BF.B.3

If red represents y = x², which equation represents blue?

• y = 2x²
• y = -2x²
• y = -x²
• y = (x - 1)²

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.2

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

• left 5
• right 5
• up 5
• down 5

Tags

CCSS.HSF.BF.B.3

What is the vertex of the quadratic function: y=2(x - 3)² + 8?

• (3, 8)

• (-3, -8)

• (-3, 8)

• (3, -8)

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

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the x-intercepts?

• 0 and 2
• -4 and 0
• 2 and 3
• 0 and 4

Tags

CCSS.HSF-IF.C.7A

What is the range of this function?

• All real numbers.
• All real numbers greater than or equal to 0.
• All real numbers greater than or equal to -2.
• All real numbers greater than or equal to 2.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

How did we transform from the parent function y = x² to y = -1/5(x - 1)² + 7 ?

• reflection, vertical shrink, horizontal shift right, vertical shift up

• vertical shrink, horizontal shift left, vertical shift up

• reflection, horizontal shift right, vertical shift down

• reflection, vertical stretch, horizontal shift left, vertical shift up

Tags

CCSS.HSF.BF.B.3

If the blue graph is

f(x) = x²

then the red must be...

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the vertex of y=x²+4x+3?

• (2,1)
• (-2,1)
• (0,0)
• (-2,-1)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.B.4