Quadratic Transformations Function

What equation represents the quadratic function?

• y = -(x - 5)² 

• y = -x² + 5

• y = x² - 5

• y = (x - 5)² 

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry?

• the slope of the graph

• the dividing line for a parabola

• a way to spin my pencil

• the x-axis

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.HSF-IF.C.7A

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum 

Tags

CCSS.HSF-IF.C.7A

The table shows values of quadratic function h. Using the table as reference, how does the graph of the function h compare to the graph of the parent function?

• The function h(x) is reflected across the x-axis

• The function h(x) is reflected across the y-axis

• The function h(x) is shifted 5 units down

• The function h(x) is shifted 5 units up

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

What do you think 'a' does to the parabola?

What do you think 'h' does to the parabola?

Tags

CCSS.HSF-IF.C.7A

What do you think 'k' does to the parabola?

What happens when a = 1, h = 0, and k = 0?