Quadratic Review

Front

What is the transformation from f(x) = x² to f(x) = x² + 6?

Back

The new function shifts up 6 units.

Front

What is the transformation from f(x) = x² to f(x) = -3x²?

Back

The new function reflects about the x-axis and gets narrower.

Front

Convert the equation y = x² - 2x - 5 into vertex form.

Back

y = (x - 1)² - 6

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

Convert f(x) = x² + 12x - 2 into vertex form.

Back

f(x) = (x + 6)² - 38

Front

What does the vertex form of a quadratic function look like?

Back

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

Front

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

Back

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

Front

How do you find the vertex of a quadratic function in standard form?

Back

Use the formula h = -b/(2a) to find the x-coordinate, then substitute h back into the function to find k.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is the vertical line x = h, where h is the x-coordinate of the vertex.

Front

What is the effect of adding a positive constant to a quadratic function?

Back

It shifts the graph upward by that constant value.