Algebra Concepts and Connections Milestone

The function f(x) = 3x - 9 is shifted 2 units up. Which equation correctly describes the new function?

• g(x) = 6x - 9

• g(x) = 3(x+2) - 9

• g(x) = 3x - 7

• g(x) = 6x - 18

What is the range of the graph of f(x) = -3(x-4)?

• (-3, 4)

• (-3, ∞)

• (-∞, 4)

• (-∞,∞)

Move the labeled points onto the coordinate grid to represent all the x- and y-intercept for the graphed function. You man select the labeled point 0, 1, or 2 times.

a

b

y-intercept

x-intercept

A function is shown. f(x) = x² - 6x -27.

Fill in the blanks below to make the statement true.

"The graph of f(x) has a minimum value of ​ (a)   and has zeros at ​ (b)   and ​ (c)   ​

• -27

• -36

• -33

• -42

• -9

• -3

• 0

• 3

• 9

• 4

Tags

CCSS.HSF-IF.C.7A

Draw the line of symmetry for the graph shown

A quadratic expression is shown. 3x² - 2x - 5

Move an expression into each box to show the factored form of the given quadratic expression.​ ​ (a)   ​ (b)   ​ ​

• (x+1)

• (3x-5)

• (x+5)

• (3x-1)

• (3x+5)

• (x-1)

Sketch a graph of the following function.

y = -x² + 4

(Hint: Use Desmos to find 5 points to graph)

Kaydon has a savings account. The total amount of money, in dollars, in the account in relation to the time, in years, since Kaydon made her first deposit can be described by the equation A = 3000(1 + 0.04)^t. Match each part of the equation with the term that BEST describe what it represents.

• time

• (1 + 0.04)

• final amount in account

• 3000

• rate as a decimal

• 0.04

• initial deposit

• t

• growth factor

• A

Tags

CCSS.HSF.LE.B.5

Which function's graph has a y-intercept of 1?

• h(x) = 5(2)^x

• h(x) = 5(0.5)^x + 0.5

• h(x) = (0.5)^x + 1

• h(x) = 0.5(2)^x + 0.5

Tags

CCSS.HSF-IF.C.7E

Look at the square WXYZ on the coordinate plane. Which measure is closest to the perimeter of square WXYZ?

• 20 units

• 25.6 units

• 32 units

• 40.9 units

Tags

CCSS.HSG.GPE.B.7