Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2? right 5, down 23 left 5, down 23 right 5, up 27 left 5, up 27

Hey there! :)

Right 5, down 23

Step-by-step explanation:

Beginning with the parent function f(x) = x²:

Find the translations of the graph g(x) by completing the square to rewrite the equation in vertex form:

g(x) = x² - 10x + 2

-2 = x² - 10x

-2 + 25 = (x² - 10x + 25)

23 = (x - 5)²

Rewrite:

g(x) = (x - 5)² - 23

The translations that we can see from this equation in vertex form are a horizontal translation of 5 units right and 23 units down. Therefore:

Right 5, down 23 is the correct choice.

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all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true