Unit 4A Final Review & Retest Remediation

Front

What is the interval of increase for a quadratic function?

Back

The interval of increase for a quadratic function is the range of x-values where the function's output (y-value) is increasing. For example, if the vertex is at (-1, 4), the interval of increase is \((-\infty, -1]\).

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula \(x = -\frac{b}{2a}\) from the standard form \(y = ax^2 + bx + c\).

Front

What type of function is represented by a parabolic graph?

Back

A parabolic graph represents a quadratic function, which can be expressed in the form \(y = ax^2 + bx + c\).

Front

How can you determine if a quadratic equation opens up or down?

Back

A quadratic equation opens up if the coefficient of \(x^2\) (a) is positive and opens down if it is negative. For example, in \(y = -3x^2 + 7x - 2\), it opens down because \(a = -3 < 0\).

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is \(y = ax^2 + bx + c\), where a, b, and c are constants and \(a \neq 0\).

Front

What does the vertex of a parabola represent?

Back

The vertex of a parabola represents the maximum or minimum point of the quadratic function, depending on whether it opens up or down.

Front

What is the range of a quadratic function that opens upwards?

Back

The range of a quadratic function that opens upwards is \([k, \infty)\), where k is the y-coordinate of the vertex.

Front

What is the range of a quadratic function that opens downwards?

Back

The range of a quadratic function that opens downwards is \((-\infty, k]\), where k is the y-coordinate of the vertex.

Front

How do you find the y-intercept of a quadratic function?

Back

The y-intercept of a quadratic function can be found by evaluating the function at \(x = 0\). For example, in \(y = ax^2 + bx + c\), the y-intercept is \(c\).

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form \(ax^2 + bx + c\), where a, b, and c are constants.