Practice Quadratic Transformations and Characteristics

The point in which a graph hits the x-axis is know as the _____

• Solution

• x-intercept

• Root

• All answers are correct

Tags

CCSS.HSF-IF.C.7A

Using the graph of the quadratic function, identify the y-intercept.

• (4, -6)

• (0, 2)

• (.5, 0)

• (7.5, 0)

Tags

CCSS.HSF-IF.C.7A

Using the graph of the quadratic function, identify the domain.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Describe the transformations from f(x) = x² to g(x) = -0.3x² + 4

• vertical compression and shift up

• reflection over x-axis, vertical compression, and shift up

• reflection over x-axis, vertical stretch, and shift up

• vertical stretch and shift down

Which graph will be the most vertically stretched compared to the quadratic parent function?

• g(x) = -x² + 9

• g(x) = 5x² + 1

• g(x) = 0.2x² - 11

• g(x) = -3x² - 6

Which graph will have the farthest vertical shift away from the quadratic parent function?

• g(x) = -x² + 9

• g(x) = 5x² + 1

• g(x) = 0.2x² - 11

• g(x) = -3x² - 6

Which statements are true about the quadratic parent function? Select all that apply.

• It has only one x-intercept.

• It opens downward.

• The range is all real numbers.

• The domain is all real numbers.

Tags

CCSS.HSF-IF.C.7A

What is the range of this quadratic function?

y = x² - 8

• y > -8

• y < -8

• x = all real numbers

• y = all real numbers

Based on this table of values, does the parabola open UPWARD or DOWNWARD?

• UPWARD

• DOWNWARD

• CANNOT BE DETERMINED

Tags

CCSS.HSF-IF.C.7A

Based on this table of values of a quadratic function, what is the VERTEX?

• (-4, 0)

• cannot be determined

• (-1, -9)

• (0, -8)