FINDING QUADRATIC FUNCTION/EQUATION

Standard form of a quadratic equation

• y=x²
• y=ax²+bx+c
• y=mx+b
• y=x

Write the equation of the quadratic

whose roots are -4, -2.

• x²-6x+8

• x²+6x+8

• x²-4x-2

• x²-2x-4

Write the quadratic equation given the zeros(roots) are -4 and 5 and a = 1.

• (x + 4) (x - 5) = 0

• (x - 4) (x + 5)=0

• (x + 4) ( x + 5)=0

• (x - 4) (x - 5)=0

Write the equation of the quadratic function that has a x-intercepts at (2, 0) and (4, 0) and passes through the point (3, 4).

• y = -4(x - 2)(x - 4)

• y = -4(x + 2)(x + 4)

• y = 4(x - 2)(x - 4)

• y = -0.25(x - 2)(x - 4)

Write the equation of the quadratic function that has a x-intercepts at 2 and 4 and passes through the point (3, 4).

• y = -4(x - 2)(x - 4)
• y = -4(x + 2)(x + 4)
• y = 4(x - 2)(x - 4)
• y = -0.25(x - 2)(x - 4)

What are the x- intercepts?

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

Identify the y-intercept

• (0, -3)

• (0, 1)

• (0, 3)

• (2, 1)

What is another name for the x-intercepts of a quadratic?

• y-intercept
• Zeros
• x-axis
• They don't have another name

• A

• B

• C

• D

Write a quadratic equation given the x intercepts and one other point.

Step 1: Write the factors.

The intercepts of this function are (6, 0) and (8, 0). Write the factors.

• (x-6) and (x-8)

• (x+6) and (x+8)

• (x-6) and (x+8)

• (x+6) and (x-8)