Transformations and Forms Review

Front

What form is the equation y = 2(x - 2)² + 4 written in?

Back

Vertex form

Front

Which transformation changes f(x) = x² to g(x) = (x + 4)²?

Back

Shift 4 units to the left

Front

What can we find easily in factored form?

Back

Zeros/x-intercepts

Front

How did we transform from y = x² to y = -3x²?

Back

Reflection in x-axis and narrower

Front

If f(x) = x², what is g(x) if it is shifted down by 5 units?

Back

g(x) = x² - 5

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 indicate?

Back

The direction and width of the parabola.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c.

Front

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

Back

Set x = 0 and solve for y.

Front

What is the effect of a negative 'a' value in a quadratic function?

Back

It reflects the graph across the x-axis.