Suppose the function f(x) = 2x² + kx − 5 is a translation down 13 units and left 2 units of the parent function g(x) = 2x². What is the value of k?
Answer choices
A. k = −2
B. k = −13
C. k = 8
D. k = 2

8 (answer C)

Step-by-step explanation:

Start with the parent function g(x) = 2x².

If we graph this, and then translate the whole graph 13 units down, we get

h(x) = 2x² - 13

If we now graph h(x), and translate the entire graph 2 units to the left, the function becomes

h(x) = 2(x + 2)^2 - 13, or

h(x) = 2(x^2 + 4x + 4) - 13, or

h(x) = 2x^2 + 8x + 8 - 13,  or

h(x) = 2x^2 + 8x - 5

and if we compare this to

f(x) = 2x^2 + kx - 5

we see readily that k must be 8 (answer C)

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.