Solving Quadratic Word Problems

Front

What are the x-intercepts of the function f(x)= (x - 2)(x + 3)?

Back

x = 2 or x = -3

Front

Find the axis of symmetry for f(x) = 4x² + 16x - 5.

Back

x = -2

Front

At what time would you reach 16 ft above the water if you jump off a cliff using the formula: h = -16t² + 8t + 24?

Back

1 second

Front

If each mark on the x-axis represents one second, when did the object reach the ground?

Back

5.5 seconds

Front

True or false: The solution, root, x-intercept, and zero of a problem are all the same thing.

Back

True

Front

What is a quadratic equation?

Back

An equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the vertex of a parabola?

Back

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

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 does the discriminant of a quadratic equation tell you?

Back

It indicates the nature of the roots: positive means two real roots, zero means one real root, and negative means no real roots.

Front

What is the formula for the axis of symmetry of a quadratic function?

Back

x = -b/(2a).