Midterm Review F.8

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax² + bx + c, where a, b, and c are constants.

Front

What does it mean to reflect a function over the x-axis?

Back

Reflecting a function over the x-axis means to invert the output values, changing y to -y in the function's equation.

Front

What is the effect of shifting a function up by 2 units?

Back

Shifting a function up by 2 units means adding 2 to the output of the function, resulting in a new function of the form y = f(x) + 2.

Front

What is the parent function of an absolute value graph?

Back

The parent function of an absolute value graph is y = |x|.

Front

How do you shift an absolute value graph to the right by 5 units?

Back

To shift an absolute value graph to the right by 5 units, you replace x with (x - 5) in the function, resulting in y = |x - 5|.

Front

What is a transformation in the context of functions?

Back

A transformation refers to any change made to the graph of a function, including shifts, reflections, stretches, and compressions.

Front

What does it mean to shift a function left by 3 units?

Back

Shifting a function left by 3 units means replacing x with (x + 3) in the function's equation.

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is y = ax² + bx + c, where a ≠ 0.

Front

What is the effect of a negative sign in front of a quadratic function?

Back

A negative sign in front of a quadratic function reflects the graph over the x-axis.

Front

How do you describe a transformation that moves a graph right 2 and up 5?

Back

This transformation can be described as replacing x with (x - 2) and adding 5 to the output, resulting in y = f(x - 2) + 5.