Graphing Quadratics

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, representing the maximum or minimum value of the function.

Front

How do you find the vertex of the quadratic equation y = ax^2 + bx + c?

Back

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

Front

What does the y-intercept represent in a quadratic function?

Back

The y-intercept is the point where the graph intersects the y-axis, indicating the value of the function when x = 0.

Front

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

Back

Set x = 0 in the equation and solve for y.

Front

What are x-intercepts in a quadratic function?

Back

X-intercepts are the points where the graph intersects the x-axis, indicating the values of x for which y = 0.

Front

How do you find the x-intercepts of a quadratic equation?

Back

Set y = 0 in the equation and solve for x using factoring, completing the square, or the quadratic formula.

Front

What does it mean if a parabola opens upwards?

Back

If a parabola opens upwards, the vertex is the minimum point, and the function has a minimum value.

Front

What does it mean if a parabola opens downwards?

Back

If a parabola opens downwards, the vertex is the maximum point, and the function has a maximum value.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the significance of the coefficient 'a' in a quadratic equation?

Back

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