Standard Form of Quadratic Function

Standard form of a quadratic equation

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

Identify the vertex and whether the graph opens up or down.

• (-1, 4); opens up

• (-1, 4); opens down

• (1, 4); opens up

• (1, 4); opens down

Where is the axis of symmetry for this parabola?

• x = −1

• x = 0

• y = 3

• x = −3

Tags

CCSS.HSF-IF.C.7A

Standard form of a quadratic equation

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

The standard form of a quadratic equation is

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

Convert to vertex form.

• y=3(x+1)² - 8

• y=3(x-1) ² - 8

• y=3(x+2)² - 8

• y=3(x-2)² - 8

Which is the correct graph for the equation below?

y = 2x² - 8x + 12

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

What is the equation for axis of symmetry?

• y=3

• x=3

• x=5

• x=1

Tags

CCSS.HSF-IF.C.7A

Find an equation in standard form of the parabola passing through the points.

(1, −1), (2, −5), (3, −7)

• y = -3x² + 7x + 8

• y = x² - 7x + 5

• y = -x² + 7x - 5

• y = x²

Identify the range of the given parabola.

y = −x² − 6x − 10

• y ≥ -1

• all real numbers

• y ≤ -1

• y > -1.5

Tags

CCSS.HSF-IF.C.7A