Quadratic Functions Flashcard

Front

The function f is given by f(x) = x^2 - 6x. What are the x-intercepts of the graph of f?

Back

The x-intercepts are at (0, 0) and (3, 0).

Front

What is the y-intercept of the function p(x) = (x + 2)(x - 5) ?

Back

-10

Front

What is the vertex of the function p(x) = (x + 2)(x - 5) ?

Back

(1.5, -6.25)

Front

Sum of the roots of the function p(x) = (x + 2)(x - 5)

Back

3

Front

What is the value of p(x) when x = 1?

Back

-12

Front

What happens to the graph of a quadratic function when a > 0?

Back

The graph opens upward.

Front

Where is the x-coordinate of the vertex of the quadratic function f(x) = ax^2 + bx + c?

Back

-b/2a

Front

How does the graph of a quadratic function change when the coefficient of the quadratic term is negative?

Back

The graph opens downward.

Front

Effect on the graph of a quadratic function if the constant term is increased?

Back

The graph shifts upward.

Front

What is the axis of symmetry for the quadratic function f(x) = ax^2 + bx + c?

Back

x = -b/2a