Function Transformations

Front

What does the variable 'h' represent in the vertex form of a quadratic function, y = a(x - h)² + k?

Back

The x value of the vertex.

Front

Describe the transformation of the function y = |x| to y = -2|x - 3| + 3.

Back

Reflected across the x-axis, vertical stretch by 2, right 3, up 3.

Front

What is the parent function of the absolute value function?

Back

y = |x|.

Front

What is the effect of the coefficient 'a' in the vertex form of a quadratic function y = a(x - h)² + k?

Back

It determines the direction of the parabola (upward if a > 0, downward if a < 0) and the vertical stretch or compression.

Front

What does the variable 'k' represent in the vertex form of a quadratic function, y = a(x - h)² + k?

Back

The y value of the vertex.

Front

How do you identify the vertex of the function y = a(x - h)² + k?

Back

The vertex is the point (h, k).

Front

What transformation occurs when the equation of a function is written as y = -f(x)?

Back

The graph is reflected across the x-axis.

Front

What does a positive value of 'a' indicate in the function y = a|x|?

Back

The graph opens upwards and is a vertical stretch of the parent function.

Front

What is the result of simplifying the expression (-3 + 5i) - (2 + 9i)?

Back

-5 - 4i.

Front

What is the result of simplifying the expression (8 - 7i)²?

Back

15 - 112i.