Answer:
<h2>C. F(x) = (x - 3)⁴</h2>
Step-by-step explanation:
f(x) + n - shift the graph of f(x) n units up
f(x) - n - shift the graph of f(x) n units down
f(x - n) - shift the graph of f(x) n units to the right
f(x + n) - shift the graph of f(x) n units to the left
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The graph og G(x) = x⁴ shifted 3 units to the right.
Therefore F(x) = G(x - 3) = (x - 3)⁴
Evaluating 36^(-3/2) utilizes the laws of exponents. Raising a number by a negative exponent is raising the reciprocal of the number by the exponent: 36^(-3/2) = (1/36)^(3/2).
We could separate 3/2 into 3/2 = 1/2 * 3, and further simplify the expression
= ((1/36)^(1/2))^3= (1/6)^3= 1/216
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He could have wrote -2.5 or -3.
Okay. So the equation is 4x² - 16. We're talking about moving 7 units to the right and 3 units down. That formula would be h(x) = 4(x - 7)² - 19, because you would add -3 to the -16 units to get -19, and you would put the parenthesis around x and the 7 in order for it to move right. Keep in mind that parenthesis around x and a term means that we move either left or right, which didn't occur in the original equation. -16 is the amount of units down and adding -3 to it makes it -19. The answer is A.
Answer:
D
Step-by-step explanation: