2.7 Warm Up

Front

What is a coefficient in a mathematical function?

Back

A coefficient is a numerical factor that multiplies a variable in a term of a function. For example, in the term -5x, -5 is the coefficient.

Tags

CCSS.6.EE.A.2B

Front

What is a constant in a mathematical function?

Back

A constant is a fixed value that does not change. In the function f(x) = -5x + 14, 14 is the constant.

Tags

CCSS.6.EE.A.2B

Front

What does vertical stretch mean in graphing functions?

Back

Vertical stretch occurs when a function is multiplied by a factor greater than 1, making the graph taller.

Front

What does vertical compression mean in graphing functions?

Back

Vertical compression occurs when a function is multiplied by a factor between 0 and 1, making the graph shorter.

Front

How do you reflect a quadratic function over the x-axis?

Back

To reflect a quadratic function over the x-axis, multiply the entire function by -1. For example, f(x) = x^2 becomes f(x) = -x^2.

Front

What is a horizontal shift in graphing functions?

Back

A horizontal shift moves the graph left or right. For example, f(x) = (x - 1.5)^2 shifts the graph 1.5 units to the right.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

How do you identify the vertex from the standard form of a quadratic function?

Back

The vertex can be found using the formula x = -b/(2a) from the standard form f(x) = ax^2 + bx + c.

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, given by x = -b/(2a).