1st Semester Algebra 2 Final Review

Front

What is the domain of the graph of the function?

Back

The domain is the set of all possible input values (x-values) for the function. For the graph given, the domain is -7 ≤ x < 5.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How do you graph a quadratic function?

Back

To graph a quadratic function, identify the vertex, axis of symmetry, and intercepts. Plot these points and draw a smooth curve through them.

Tags

CCSS.HSF-IF.C.7A

Front

Back

The maximum value occurs at the vertex. For this function, the vertex is (-2, 16), so the maximum value is 16.

Front

Write a system of equations for the following situation: Harry has $4.75 in nickels (x), dimes (y), and quarters (z). He has two less quarters than dimes and 33 coins altogether.

Back

The system of equations is: x + y + z = 33, z = y - 2, 0.05x + 0.10y + 0.25z = 4.75.

Tags

CCSS.HSA.CED.A.3

Front

Back

Tags

CCSS.HSA-REI.B.4B

Front

What is a quadratic function?

Back

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts, set the quadratic equation to zero and solve for x using factoring, completing the square, or the quadratic formula.

Tags

CCSS.HSF-IF.C.7A

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase, and decreasing if its output values fall as the input values increase.