Review: Absolute Value and Quadratic Functions

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is y = a(x-h)² + k, where (h, k) is the vertex of the parabola.

Front

If the 'a' value in the vertex form is positive, which direction does the graph open?

Back

The graph opens upwards.

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the point where the graph intersects the y-axis, found by setting x=0 in the equation.

Front

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

Back

The vertex is given directly as the point (h, k) in the vertex form equation y = a(x-h)² + k.

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax² + bx + c, where a, b, and c are constants.

Front

How do you convert from standard form to vertex form?

Back

You can convert by completing the square.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is the vertical line x = h, where (h, k) is the vertex.

Front

What is the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value occurs at the vertex; it is k in the vertex form y = a(x-h)² + k.

Front

What is an absolute value function?

Back

An absolute value function is a function that outputs the non-negative value of its input, typically written as y = |x|.

Front

How does the graph of an absolute value function look?

Back

The graph of an absolute value function forms a V shape, opening upwards.