Ch. 4 Review: Quadratic Functions

Front

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

Back

6 feet

Front

Find the vertex of the function f(x) = -x² - 4x + 12.

Back

(-2, 16)

Front

How long after jumping is the lizard back on the water if h = -12t² + 6t?

Back

0.50 seconds

Front

What is the maximum height of an object launched at 64 feet per second from a platform 80 feet high, represented by s(t) = -16t² + 64t + 80?

Back

144 feet

Front

Find the axis of symmetry and vertex of the function y = x² - 8x + 12.

Back

x=4, (4,-4)

Front

Define a quadratic function.

Back

A polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What is the standard form of a quadratic function?

Back

f(x) = a(x - h)² + k, where (h, k) is the vertex.

Front

What does the discriminant of a quadratic equation determine?

Back

The nature of the roots: if it's positive, there are two real roots; if zero, one real root; if negative, no real roots.

Front

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

Back

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

Front

What is the axis of symmetry in a quadratic function?

Back

A vertical line that divides the parabola into two mirror images, given by x = -b/(2a).