Transformation of graphs HW

Front

What causes the graph of y = x² to open downward?

Back

Multiply the x² by a negative number.

Front

Which equation below is a quadratic function translated up 5 units?

Back

y = x² + 5

Front

How did the equation shift from the parent function? y = f(x - 4)

Back

Shift right by 4.

Front

Name the parent function of y = |x|.

Back

Absolute value.

Front

What effect does multiplying a quadratic function by a number greater than 1 have on its graph?

Back

It vertically stretches the graph.

Front

What effect does multiplying a quadratic function by a fraction (between 0 and 1) have on its graph?

Back

It vertically compresses the graph.

Front

What is the vertex form of a quadratic function?

Back

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

Front

What does the 'a' value in the quadratic function y = ax² + bx + c determine?

Back

The direction and width of the parabola.

Front

How does the graph of y = x² + 3 differ from y = x²?

Back

It is shifted up by 3 units.

Front

What is the effect of the transformation y = f(x + 2)?

Back

Shift left by 2 units.