Standard Form to Vertex Form

Front

What is the formula to find the vertex of a parabola?

Back

x = -b / (2a)

Front

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

Back

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

Front

What is the vertex form of a quadratic equation?

Back

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

Front

How do you convert a quadratic equation from standard form to vertex form?

Back

Use completing the square method.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c.

Front

What does the 'a' value in a quadratic equation indicate?

Back

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

Front

What is the significance of the vertex in a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on the direction it opens.

Front

How can you determine the axis of symmetry for a parabola?

Back

The axis of symmetry is given by the line x = -b / (2a).

Front

What is the y-intercept of the function f(x) = 2x² - 2x + 1?

Back

The y-intercept is 1.

Front

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

Back

Set f(x) = 0 and solve for x.