Quadratic Word Problems in Standard Form

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

• 20 ft

• 15 ft

• 5 ft

• 10 ft

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

What part of the parabola represents how high off the ground an object started at?

• y-intercept

• x-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

Tags

CCSS.HSF-IF.C.7A

• (0, c)

• Use the axis of symmetry formula.

• Use the axis of symmetry formula, plug back into equation

• Use the Quadratic Formula

• Set the equation equal to zero, then solve by factoring.

What part of the parabola represents when the object hits the ground?

• y-intercept

• x-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

What part of the parabola represents when an object is at maximum height?

• y-intercept

• x-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

What part of the parabola represents how high an object gets?

• y-intercept

• x-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

Tags

CCSS.HSF-IF.C.7A

• Set the input equal to 1 and solve.

• Set the output equal to 1 and solve by factoring.

• Find the x-intercept by setting the equation equal to zero and solve by factoring or quadratic formula.

• Find the y-intercept by setting the input equal to zero and solve.

• (0, c)

• Use the axis of symmetry formula.

• Use the axis of symmetry formula, plug back into equation

• Use the Quadratic Formula

• Set the equation equal to zero, then solve by factoring.

How high would you jump if the equation for jumping from a cliff is:    
h(t) = -16t² + 8t + 24?

• 25

• 24

• 8

• 26