translations of quadratic functions (midterm review)

Front

What change does a Translation Cause?

Back

A shift up, down, left, or right.

Front

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

Back

y = x² + 5.

Front

Which equation below is a quadratic function translated left 4 units?

Back

y = (x + 4)².

Front

Name the parent function of quadratic functions.

Back

Quadratic.

Front

The graph of a quadratic function is called a?

Back

Parabola.

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c.

Front

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

Back

The coefficient that determines the direction and width of the parabola.

Front

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

Back

It reflects the parabola across the x-axis.

Front

How do you translate a quadratic function down 3 units?

Back

Subtract 3 from the function: y = x² - 3.

Front

What is the vertex form of a quadratic function?

Back

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