review #2

Front

What is the effect of translating a function 2 units up?

Back

The output of the function increases by 2 for every input, represented as g(x) = f(x) + 2.

Front

What does a vertical shrink with a scale factor of 0.5 do to a function?

Back

It reduces the output of the function by half, represented as g(x) = 0.5f(x).

Front

What is the combined transformation of translating a function 2 units up and vertically shrinking it by a scale factor of 0.5?

Back

The transformation is represented as g(x) = 0.5f(x) + 2.

Front

Back

First, isolate the absolute value: |x - 2| > 8. This leads to two cases: x - 2 > 8 or x - 2 < -8, resulting in x < -6 or x > 10.

Front

Back

Front

What is the substitution method in solving systems of equations?

Back

It involves solving one equation for one variable and substituting that expression into the other equation.

Front

How do you solve the system of equations: 5x + 4y = -14 and y = -7x - 15?

Back

Substituting y from the second equation into the first gives the solution (-2, -1).

Front

Back

It represents two separate regions on a number line: all values less than or equal to -2 and all values greater than 5.

Front

What is the definition of a function transformation?

Back

A function transformation is a change made to the function's graph, which can include translations, reflections, stretches, and shrinks.

Front

What is the difference between a vertical stretch and a vertical shrink?

Back

A vertical stretch increases the output values (scale factor > 1), while a vertical shrink decreases the output values (scale factor < 1).