Quadratics Find Roots Find Vertex Word Problems

Find the roots of the quadratic equation x^2 - 5x + 6 = 0.

• x = 1, x = 4

• x = 0, x = 6

• x = -2, x = -3

• x = 2, x = 3

What are the roots of the quadratic equation 3x^2 + 5x - 2 = 0?

• The roots of the quadratic equation 3x^2 + 5x - 2 = 0 are x = 1/3 and x = -2.

• x = 0 and x = -5

• x = 1/2 and x = -1

• x = 2 and x = -3

Determine the vertex of the parabola given by the equation y = x^2 + 4x - 5.

• (0, -5)

• (1, 3)

• (-2, -9)

• (3, 10)

Solve the word problem: A ball is thrown into the air with an initial velocity of 30 m/s. The height of the ball in meters after t seconds is given by the equation h(t) = -5t^2 + 30t + 10. How long does it take for the ball to hit the ground?

• 10 seconds

• 6 seconds

• 8 seconds

• 4 seconds

Label parts of this function.

a

b

c

d

Vertex

Y-intercept

Zero(-)

Zero (+)

The table of a quadratic function is shown.

Create the ordered pair that represents the vertex of the quadratic.

( ​ (a)   , ​ (b)   )

• -2

• -6

• -3

• -5

• -4

• -1

• 0

• 1

• 3

What is the vertex of this function?

a

b

c

d

Vertex

Zero (+)

Y-intercept

Zero(-)

A graph of a quadratic function is shown. What is the vertex of the function?

( ​ (a)   , ​ (b)   ​ )

• 9

• 0

• 3

• -9

• -3

What are the roots of the quadratic equation 2x^2 - 8x + 6 = 0?

• x = 2, x = 4

• x = -1, x = -3

• x = 0, x = 6

• x = 1, x = 3