Solving and Graphing Quadratics in Factored and Standard Form

What is another word that describes the zeroes of a quadratic function?  

• y-intercepts

• vertex

• x-intercepts

• maximum

Tags

CCSS.HSF-IF.C.7D

Solve the quadratic equation by graphing.

a² + 10a + 21 = 0

• ± √21

• -3 , -7

• 3 , 7

• 28 , -7

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Tags

CCSS.HSA-REI.B.4B

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

-1

-3

8

3

-8

5

What is the standard form of a quadratic equation?

• y = mx + b

• y = ax² + bx + c

• y = a(x - h)² + k

Standard form of a quadratic equation

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

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

-3

3

-1

8

-8

5

Solve using the square root property.

x² = 16

• ± 4

• ± 8

• 4

• 8

Tags

CCSS.HSA-REI.B.4B

What is another word for zeros?

• y-intercepts

• roots

• vertex

• axis of symmetry

Tags

CCSS.HSF-IF.C.7C

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b