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xenn [34]
3 years ago
11

The graph of g(x) is f(x) translated to the left 8 units and up 2 units. What is the function rule for g(x) given f(x) = x²?

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
7 0
Translation of a function y = h(x) to the right/left is given by y = h(x + a)  for translation to the left by 'a' units and y = h(x - a) for translation to the right by 'a' units

Translation of a function y = h(x) up/down the y-axis is given by y = h(x) + a for translation 'a' unit up and y = h(x) - a for translation 'a' unit down

So, translating f(x) = x² eight units right and two units up gives:

g(x) = (x-8)² + 2
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Step-by-step explanation:

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3 years ago
1. Kalena was asked to prove ifx(x - 1)(x + 1) = x3 - X represents a polynomial identity. She
Verdich [7]

Answer:

C. Kalena made a mistake in Step 3. The justification should state: -x²

+ x²

Step-by-step explanation:

Given the function x(x - 1)(x + 1) = x3 - X

To justify kelena proof

We will need to show if the two equations are equal.

Starting from the RHS with function x³-x

First we will factor out the common factor which is 'x' to have;

x(x²-1)

Factorising x²-1 using the difference of two square will give;

x(x+1)(x-1)

Note that for two real number a and b, the expansion of a²-b² using difference vof two square will give;

a²-b² = (a+b)(a-b) hence;

Factorising x²-1 using the difference of two square will give;

x(x+1)(x-1)

Factorising x(x+1) gives x²+x, therefore

x(x+1)(x-1) = (x²+x)(x-1)

(x²+x)(x-1) = x³-x²+x²-x

The function x³-x²+x²-x gotten shows that kelena made a mistake in step 3, the justification should be -x²+x² not -x-x²

6 0
3 years ago
What is the greatest common factor of 28, 48, and 64?
Goryan [66]
First, prime factor all of the numbers. Then, collect the factors which appear in all three lists:

28 = 2 x 2 x 7
48 = 2 x 2 x 2 x 2 x 3
64 = 2 x 2 x 2 x 2 x 2 x 2

The only factor which appears in all lists is 2. It appears twice in the first number, so the greatest common factor in the group is 2 x 2  = 4
Please click 'thanks' for the answer :-)

4 0
3 years ago
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3x2 + 4x - 8 = 0?
Crazy boy [7]

Answer:

C) x = -

2 ± 2

7

3

Step-by-step explanation:

4 0
3 years ago
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