Quadratic Functions: Standard Form & Factored Form

Front

What do we call the graph of a quadratic function?

Back

parabola

Front

What is the maximum/minimum point of a parabola called?

Back

vertex

Front

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

Back

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

Front

What is the standard form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the factored form of a quadratic function?

Back

f(x) = a(x - r1)(x - r2), where r1 and r2 are the roots.

Front

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

Back

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

Front

What is the axis of symmetry in a parabola?

Back

The vertical line that passes through the vertex, given by x = -b/(2a).

Front

What does the 'a' value in the standard form of a quadratic function indicate?

Back

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

Front

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

Back

It represents the maximum or minimum value of the function.

Front

How do you convert from standard form to factored form?

Back

Use factoring techniques or the quadratic formula to find the roots.