Algebra Quadratic Function

How many seconds did it take for the rocket to reach its maximum height?

Mathematical Equivalence

ON

How many seconds did it take for the rocket to hit the ground?

Mathematical Equivalence

ON

Draw the parabola's axis of symmetry.

Tags

CCSS.HSF-IF.C.7A

Write the equation y= -2x² - 16x + 40 in vertex form by completing the square. Then, identify the vertex.

Write the equation of the parabola that has x-intercepts of (-2, 0) and (6, 0) and passes through the point (7, 27) in root form.

A bottle rocket that was made in science class had a trajectory path that followed the quadratic equation, y = -x² + 4x + 6, where x is the time in seconds and y is the height in feet.

What is the height of the rocket when it is launched?

What is the coordinate when the rocket starts to descend?

At what time does the ball reach 9 feet above the ground?

Find the positive x-intercept to the nearest tenth.

Using the equation y = ax² + bx + c to represent a parabola on a graph, which statement is true?

• If b is negative, the parabola opens downward.

• If a is negative, the parabola opens upward.

• If a is positive, the parabola opens upward.

• If c is negative, the parabola opens downward.

Tags

CCSS.HSF-IF.C.7A

The turning point of the function, f(x) = -2(x + 3)² + 7, can be described as:

• (-3, 7) and is a maximum point

• (-3, 7) and is a minimum point

• (3, 7) and is a maximum point

• (3, 7) and is a minimum point

Write the equation of the parabola shown in vertex form.

Write the equation y = -5(x - 2)² + 1 in standard form.