Midterm Review F.8

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is y = x².

Front

What transformation does the equation y = x² + 5 represent?

Back

The equation y = x² + 5 represents a vertical translation of the parent function y = x², shifted up 5 units.

Front

What is the effect of a negative sign in front of a quadratic function, such as in y = -x²?

Back

A negative sign in front of a quadratic function reflects the graph over the x-axis.

Front

What does the equation y = -x² + 2 represent in terms of transformations?

Back

The equation y = -x² + 2 represents a reflection over the x-axis and a vertical shift up 2 units.

Front

How do you describe the transformation of the function y = (x - 2)² + 5?

Back

The function y = (x - 2)² + 5 is translated right 2 units and up 5 units.

Front

What is the parent function of the absolute value function?

Back

The parent function of the absolute value function is y = |x|.

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is y = ax² + bx + c, where a, b, and c are constants.

Front

What does the term 'vertex' refer to in a quadratic function?

Back

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

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 the formula x = -b/(2a).

Front

What is the significance of the 'a' value in a quadratic function?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects the width of the parabola.