Quadratic transformations

Front

What is the axis of symmetry in the function f(x) = (x-1)² + 2?

Back

x = 1

Front

What is the vertex form of a quadratic function?

Back

f(x) = a(x-h)² + k

Front

How does the function y = 0.3x² compare to the parent function y = x²?

Back

Wider

Front

What steps transform the graph y = x² to y = 2(x+2)² - 5?

Back

Stretch by 2, shifted 2 units left and 5 down

Front

How did we transform from the parent function y = x² to y = x² + 2?

Back

Vertical shift up

Front

What does the 'a' in the vertex form f(x) = a(x-h)² + k represent?

Back

The vertical stretch or compression factor.

Front

What effect does a negative 'a' value have on the graph of a quadratic function?

Back

It reflects the graph across the x-axis.

Front

What is the vertex of the function f(x) = 3(x-4)² + 1?

Back

(4, 1)

Front

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

Back

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

Front

What transformation occurs when the function is written as f(x) = (x-3)²?

Back

Shifted 3 units to the right.