Key Features of Quadratics

Front

What are the zeros of the quadratic function y = (x - 5)(x + 3)?

Back

The zeros are x = -3 and x = 5.

Front

What is the end behavior for the graph of the function f(x) = -x^2 + 7x + 11?

Back

As x → -∞, y → -∞ and as x → +∞, y → -∞.

Front

What does the function h(t) = -16t^2 + 96t model in the context of a rocket launch?

Back

It models the height of the rocket over time.

Front

Which statement is NOT true about the rocket modeled by h(t) = -16t^2 + 96t?

Back

The rocket reaches a maximum height of 140 feet.

Front

How do you find the x-intercept(s) of a quadratic function?

Back

Set y = 0 and solve for x.

Front

What are the coordinates of the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula (-b/2a, f(-b/2a)).

Front

What is the difference between a maximum and minimum in a quadratic function?

Back

A maximum is the highest point on the graph, while a minimum is the lowest point.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is the vertical line that divides the parabola into two mirror images, given by x = -b/2a.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c.

Front

What does the 'a' value in a quadratic function determine?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0).