Graphing Quadratic Equations

Front

What is the green dashed line called in a quadratic graph?

Back

Axis of symmetry.

Front

Describe the transformations of the graph y = (x - 3)² - 2.

Back

Right 3, Down 2.

Front

What is the y-intercept of the graph shown above if it is (0,-6)?

Back

(0,-6)

Front

Does the equation Y = -3x² + 7x - 2 open up or down?

Back

Down.

Front

Which of the following equations matches the standard form of a quadratic? y = ax² + bx + c

Back

y = ax² + bx + c.

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

What are the roots or x-intercepts of a quadratic equation?

Back

The values of x where the graph intersects the x-axis.

Front

What does the 'a' value in the quadratic equation y = ax² + bx + c determine?

Back

The direction of the parabola (upward if a > 0, downward if a < 0).

Front

How do you find the axis of symmetry for a quadratic equation in standard form?

Back

x = -b/(2a).

Front

What is the significance of the vertex in a quadratic graph?

Back

It represents the maximum or minimum point of the parabola.