3/25 Quadratics

Standard form of a quadratic equation

• y=x²
• y=ax²+bx+c
• y=mx+b
• y=x

What mathematical process did they use?

• Quadratic Formula
• Completing the Square
• Factoring
• Differentiation

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

What are the zeros?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Solve using the Zero-Product Property.

(x + 4)(x − 3) = 0

• x = 4 and x = −3

• x = 2 and x = 1

• x = −4 and x = 3

• x = −2 and x = 1

Solve using the Zero-Product Property.

7x(x − 6) = 0

• x =7 and x = −6

• x = 0 and x = 6

• x = 0 and x = −6

• x = 7 and x = 6

What is the vertex?

• (-2,0)

• (0,0)

• (0,-4)

• (2,0)

• upwards

• downwards

What are the x-intercepts (zeros)?

• (-2,0) and (2,0)

• (0,2) and (0,-2)

• (0,-4)

• (-2,-4) and (2,-4)

What is the y-intercept?

• (0,-4)

• (-4,0)

• (-2,0)

• (2,0)