Applications of Quadratics

Front

What is the maximum height of a soccer ball kicked with an initial upward velocity of 90 feet per second, modeled by the equation h=-16t² + 90t?

Back

126.56 ft

Front

What is the name of the graph of a quadratic function?

Back

Parabola

Front

In a parabolic path, what does the y-axis represent?

Back

Height from the ground

Front

In a parabolic path, what does the x-axis typically represent?

Back

Time

Front

What is the initial height of an object following the path h(t) = -16t² + 20t + 6?

Back

6 feet

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the parabola, depending on its orientation.

Front

What does the term 'axis of symmetry' refer to in a parabola?

Back

A vertical line that divides the parabola into two mirror-image halves.

Front

How do you find the vertex of a quadratic function in standard form?

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What is the effect of the coefficient 'a' in the quadratic equation y = ax² + bx + c?

Back

It determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.