Standard Form Parabola

Identify the vertex of the following parabola.

y = x² − 4x + 1

• (2,-3)

• (1/3, 4)

• (-2, 3)

• (-2,13)

Identify the axis of symmetry of the given parabola.

y = x² − 4x + 1

• x = 3

• x = -3

• x = -2

• x = 2

What is the vertex of the following quadratic function?

y = (x-2)² + 4

• Vertex (2,4)

• Vertex (3, -8)

• Vertex (-2, 4)

• Vertex (-4, -10)

Without graphing state whether the following quadratic function opens upward or downward?

y = -3x² + 2x - 4

• Upward

• Downward

Tags

CCSS.HSF-IF.C.7A

Write the following parabola in vertex form.

y = 3x² + 18x + 32

y = a(x-h)² + k where (h,k) is the vertex.

• y = 3(x+3)² + 5

• y = 18(x - 3)² + 0

• y = (x+3)² + 5

• y = -3(x+18)² - 5

Changing the c value of a standard form quadratic (y=ax²+bx+c) transforms the graph how?

• Up and down

• Left or right

• Reflects over x axis

• Up only

• Creates a change in the universe that is so chaotic it creates a new galaxy

What is the y-intercept?
f(x) = -2x² + 4x - 6

• (0, 6)
• (0, -6)
• (6, 0)
• (-6, 0)

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry?
f(x) = x² - 8x + 15.

• x = -4
• x = 4
• y = 4
• y = -4

What is the vertex?
f(x) = -x² - 4x + 12.

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

.How many zeros does this parabola have? 

• 3
• 2
• 0
• 1

Tags

CCSS.HSF-IF.C.7A