Model Quadratics

What is the vertex of the quadratic function:
y = x² - 6x + 11?

• (3,2)

• (-3,-2)

• (-3,2)

• (3,-2)

Determine the vertex of the parabola:
y = 5x² - 20x + 13

• (5, -7)

• (-2, -7)

• (2, -7)

• (-7, -2)

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

If a toy rocket is launched from the ground and its height h after t seconds is given by the function h(t) = -8t² +64t.

When will the object reach its maximum height?

• 128 ft

• 0 seconds

• 0 ft

• 4 seconds

A ball is thrown vertically into the air. Its height in feet after t seconds is given by the equation h(t) = –5t² + 20t, and is graphed below. How high will the ball be after 3 seconds?

• 20 ft

• 15 ft

• 5 ft

• 10 ft

Solve.
(x-2)² = 100

• m = -8, 12

• m = 8, 12

• m = ±10

• No real solution

What is the green dot on the parabola called?

• maximum

• minumum

• roots

• zeros

Does y = -4x² have a maximum or minimum value?

• maximum

• minimum

What is the formula to find the vertex of a parabola?

• x = -b/2

• x = -b

• x = -b / (2a)

• x = -b / 2

Factor completely: x²+16x+64

• (x+4)(x+16)

• (x-8)(x-8)

• (x+2)(x+32)

• (x+8)(x+8)