Characteristics and Transformations of Quadratic Functions

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

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.

How is the graph of y = 2x²+ 3 different from the graph of y = 2x²?

• It is shifted 3 units left.

• It is shifted 3 units right.

• It is shifted 3 units down.

• It is shifted 3 units up.

Name the parent function.

• linear

• quadratic

• cubic

• logarithmic

What is the axis of symmetry?

• A line whose equation is the x-coordinate of a parabola's vertex

• A central line that divides a parabola into mirror images

• A line that intersects a parabola at the vertex

• All of the above

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Tags

CCSS.HSF-IF.C.7A

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 domain.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

Tags

CCSS.HSF-IF.C.7A

Which function has a translation of 3 units to the left?

• f(x) = 3x²+1

• f(x) = (x + 3)² + 1

• f(x) = (x - 3)² + 1

• f(x) = (x + 1)²- 3