Quadratic Graphs

Front

What is the axis of symmetry for a parabola with vertex at (-3, 2)?

Back

x = -3

Front

How do you find the vertex and axis of symmetry from a quadratic graph?

Back

The vertex is the highest or lowest point of the parabola, and the axis of symmetry is the vertical line that passes through the vertex.

Front

What is the domain of a quadratic function?

Back

The domain is all real numbers.

Front

What is the range of a quadratic function that opens downwards with a maximum value of 4?

Back

The range is y ≤ 4.

Front

How do you determine the x-intercepts of a quadratic function?

Back

Set the quadratic equation equal to zero and solve for x.

Front

What shape do quadratic equations take when graphed?

Back

A parabola.

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 does the 'a' value in the vertex form of a quadratic equation indicate?

Back

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

Front

How can you find the y-intercept of a quadratic function?

Back

Substitute x = 0 into the quadratic equation.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the number and type of roots: two real roots, one real root, or no real roots.