Standard Form from a Quadratic Graph

Does this parabola have a maximum or minimum?

• Maximum

• Minimum

Tags

CCSS.HSF-IF.C.7A

Where is the axis of symmetry for this parabola?

• x = −1

• x = 0

• y = 3

• x = −3

Tags

CCSS.HSF-IF.C.7A

Which formula allows you to find the x-value of the vertex from a standard form equation?

A quadratic graph passes through the point (2, 8) and has a vertex of (-2, -4). Drag the correct coefficients and constant to represent the Standard Form Equation.

i

g

f

5

-1

-3

3

-8

8

A quadratic graph passes through the point (2, 8) and has a vertex of (-2, -4). Drag the correct coefficients and constant to represent the Standard Form Equation.

i

g

f

-8

-1

-3

5

3

8

Standard form of a quadratic equation

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

Convert the equation from vertex form to standard form.

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

• y = -5x² - 20x - 30

• y = -5x² - 4x - 10

• y = 25x² + 100x + 90

• y = 25x² - 10x - 30

Convert the equation from vertex form to standard form.

Convert the equation from vertex form to standard form