Parent Function Graphs

Front

What is the parent function of a quadratic function?

Back

The parent function of a quadratic function is f(x) = x².

Front

What is the general shape of the graph of a quadratic function?

Back

The graph of a quadratic function is a parabola that opens upwards or downwards.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

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) for the function f(x) = ax² + bx + c.

Front

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

Back

The 'a' value affects the width and direction of the parabola; if 'a' is positive, it opens upwards, and if negative, it opens downwards.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.

Front

What is the parent function of an absolute value function?

Back

The parent function of an absolute value function is f(x) = |x|.

Front

What is the general shape of the graph of an absolute value function?

Back

The graph of an absolute value function is a V-shape.

Front

What is the transformation of the graph of f(x) = |x| + k?

Back

The graph shifts vertically by k units; if k is positive, it shifts up, and if negative, it shifts down.