When a function is shifted to the right by 1 unit it is moved towards the negative side so we would be adding -1 to the value of x. The function f(x) would be f(x-1). To determine the resulting function, we substitute to the parent function (x-1) to x. We do as follows:
<span>f (x) = x^3 + 2x^2 − 3x − 5
</span>f (x-1) = (x-1)^3 + 2(x-1)^2 − 3(x-1) − 5
f (x-1) = x^3 - 3x^2 + 3x - 1 + 2(x^2 - 2x + 1) - 3x + 3 - 5
f (x-1) = x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5
f (x-1) = <span>x^3 - x^2 - 4x - 1
Therefore, the correct answer is the last option.</span>
Answer:
A
Step-by-step explanation:
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Answer:
C
Step-by-step explanation:
Step-by-step explanation:
$15x8=$120 = money earned at first job
$12x3=$36 = money earned at second job
$120+$36=$156 =total earned
Answer:

Step-by-step explanation:
By applying geometric mean theorem in the given right angle,

By substituting values in the given ratio,




Exact value of y is
.
-16 because you need to subtract -4 from -12