Algebra 2 Unit 1 End Review

• (1, 0) and (-9, 0)

• (1, 0) and (9, 0)

• (-1, 0) and (9, 0)

• We don't know unless we factor or graph it.

Answer explanation

To find the x-intercepts, take the opposite of the numbers in the ( ).

• (9, 1)

• (0, -9)

• (1, 0)

• (0, 9)

Answer explanation

To find the y-intercept, substitute 0 into the equation for x and find out the y-value.

• (-1, 9)

• (-9, 1)

• (2, 11)

• (4, -25)

Answer explanation

To find the vertex, first find the x-intercepts. Then find the x-coordinate that is exactly in the middle of the x-intercepts. Take this value and substitute it into the equation to find the y-value.

The graph represents the stone that Rafael skipped across the lake. What was the maximum height the stone reached?

• 1 foot

• 2 feet

• 5 feet

• 4 feet

Answer explanation

To find the maximum height, find the y-value of the vertex.

Jamaya was skipping stones with Rafael. Her stone is represented by j(x) = -(2.1 - x)(x - 5). How long was it in the air?

• 1 foot

• 2 feet

• 5 feet

• 4 feet

Answer explanation

To find the time the stone was in the air, find the x-intercepts and subtract them.

Jamaya was skipping stones with Rafael. Her stone is represented by j(x) = -(2.1 - x)(x - 5). What was the maximum height the stone reached?

• around 5 feet

• around 13 feet

• around 7 feet

• around 11 feet

Answer explanation

To find the maximum height of the stone, find the x-intercepts and then find the x-value that is exactly in the middle. Substitute this value back into the original equation to find the y-value.

What is the vertex of this equation?

• (3, -4)

• (-3, 4)

• (3, 4)

• (3, -4)

Answer explanation

To find the vertex, take the opposite of the number in the parentheses and then take the actual number outside of the parentheses (taking a - with it if it is there)

• minimum

• maximum

• Can't find it

• (0, 0)

Answer explanation

If there is no - sign after the = sign, then it opens up and vertex is a minimum.

Function p represents the number of people in the museum on a Tuesday as a function of hours since the museum opened.

Here is the graph of function p.

Based on the graph and the situation, which domain and range make sense for function p?

• Domain: all numbers from 0 to 85. Range: all numbers from 0 to 14.

• Domain: whole numbers only from 0 to 14. Range: whole numbers only from 0 to 85.

• Domain: all numbers from 0 to 14. Range: whole numbers only from 0 to 85.

• Domain: whole numbers only from 0 to 14. Range: all numbers from 0 to 85.

Which equation represents the function?