Graphing Quadratic Equations

Front

What is the parent function of a quadratic equation?

Back

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

Front

How does the equation y = x² - 7 transform the parent function?

Back

It moves the graph 7 units down.

Front

What is the value of b in the equation y = 6x² + 19?

Back

b = 0.

Front

How do you determine the vertex of a quadratic equation in standard form?

Back

The vertex can be found using the formula x = -b/(2a) and then substituting x back into the equation.

Front

What is the vertex of the equation y = x² + 8x - 10?

Back

The vertex is (-4, -26).

Front

How does the equation y = 4x² compare to the parent function y = x²?

Back

It represents a vertical stretch of the graph.

Front

What effect does adding a constant to a quadratic function have on its graph?

Back

It moves the graph vertically; adding moves it up, while subtracting moves it down.

Front

What is the effect of the coefficient in front of x² in a quadratic equation?

Back

It affects the width and direction of the parabola; a larger coefficient results in a narrower parabola.

Front

How does the equation y = x² + 5 transform the parent function?

Back

It moves the graph 5 units up.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.