The Vertex Form Equation and Transformations of Parabolas

How can you tell whether a parabola is concave up or concave down by looking at the vertex form equation?

• The vertex tells you the direction of the parabola.

• The sign of "a" tells you the direction of the parabola.

• All parabolas are concave up.

• All parabolas are concave down.

Tags

CCSS.HSF-IF.C.7A

How do you know if a parabola has a minimum vertex?

• When "a" is positive there is a minimum

• When "a" is negative there is a minimum

• When all the numbers in the equation are negative there is a minimum

• When all the numbers in the equation are positive there is a minimum

Identify the vertex and whether the graph is concave up or concave down.

• (5, 2); concave up

• (5, 2); concave down

• (-5, 2); concave up

• (-5, 2); concave down

Tags

CCSS.HSF-IF.C.7A

What transformation happens here: y = (x - 5)² - 3?

• The graph is shifted to the right 5 units and down 3 units

• The graph is shifted right 3 units and down 5 units

• The graph is shifted left 5 units and down 3 units

• The graph is shifted left 3 units and up 5 units

Describe the horizontal shift for

y = 3(x + 4)² - 1

• shifts 3 left

• shifts 4 right

• shifts 1 left

• shifts 4 left

In vertex form, y= a(x-h)²+k, what effect does the k have on the graph?

• Shifts horizontally

• Dilates (stretches)

• Shifts vertically

Which is the most basic equation of a parabola?

Hint: Sometimes it is called the parent function.

• y = - x²

• y = - x² - 4

• y = 2x² + 3

• y = x²

Tags

CCSS.HSF-IF.C.7A

The equation of red graph is y = x². What is the equation of the blue graph?

• y = (x + 5)²

• y = (x - 5)²

• y = x² - 5

• y = x² + 5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

The equation of red graph is y = x². The equation of the blue graph is...

• y = -(x + 4)² + 2

• y = (x + 4)² - 2

• y = (x - 4)² - 2

• y = (x + 4)² + 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The vertex form of the quadratic equation helps you determine without graphing...

• direction of the parabola and its width

• horizontal and vertical shift

• vertex location

• all of the above