Algebra 2 Semester 1 Review

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is f(x) = x².

Front

How do you reflect a function over the x-axis?

Back

To reflect a function over the x-axis, multiply the function by -1. For example, f(x) becomes -f(x).

Front

What does it mean to translate a function up by 4 units?

Back

Translating a function up by 4 units means adding 4 to the function's output. For example, f(x) becomes f(x) + 4.

Front

What does it mean to translate a function right by 6 units?

Back

Translating a function right by 6 units means replacing x with (x - 6) in the function. For example, f(x) becomes f(x - 6).

Front

What is the factored form of a quadratic equation?

Back

The factored form of a quadratic equation is expressed as (x - p)(x - q), where p and q are the roots of the equation.

Front

How do you find the roots of a quadratic equation?

Back

To find the roots of a quadratic equation, you can use factoring, the quadratic formula, or completing the square.

Front

What is the absolute value function?

Back

The absolute value function is defined as f(x) = |x|, which outputs the non-negative value of x.

Front

How do you translate the absolute value function down by 2 units?

Back

To translate the absolute value function down by 2 units, subtract 2 from the function: f(x) = |x| - 2.

Front

Back

The solutions are x = 3 and x = -2.

Front

Back

The factored form is (5x + 8)(2x - 1).