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Shalnov [3]
2 years ago
6

Reflection over the y-axis followed by a horizontal translation 1 unit left on the equation f(x)=x ​

Mathematics
1 answer:
aleksley [76]2 years ago
6 0

Answer:

f(x) = -x -4 or f(x) = (-x)-4

Step-by-step explanation:

Let the graph of g be a translation of 4 units down followed by a reflection in the y-axis of the graph of f(x)=x. Write a rule for g.

Transformations can be found using this general formula: f(x) = a(bx-h)+k

For this question, we want a translation down as well as a reflection.

The two values we need to use are for k, a vertical translation, and b, a reflection over the y-axis.

Since we are translating down 4 units, k = -4

Since we are reflecting across the y-axis, b = -1

So, f(x)=(-x)-4

or

f(x)= -x -4

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Answer:

B: 4/5x -2y ≥ 3

Step-by-step explanation:

The first thing I always look for is the y-intercept which in this case is around -1.5 (-1\frac{1}{2}). That will be your constant (b) in y = mx + b. Then calculate the slope which will be your m in the equation. Visually, I would estimate it is around \frac{2}{5}. So now, your equation is y = \frac{2}{5}x -1 \frac{1}{2\\}. Next we want to figure out what the inequality will be. The shaded part is underneath the line, which means that y must be less than where the line is. Therefore the inequality will be y ≤ \frac{2}{5}x -1 \frac{1}{2\\}.

Now in this question, the answers available are not in this form. The next step would be to multiply every part of the inequality by 2 (it is essential that all parts are multiplied) so that you get 2y ≤  \frac{4}{5}x -3. The last step is to rearrange the inequality so that it matches the answers on the question.

3 ≤  \frac{4}{5}x - 2y

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3 years ago
What is the volume of 8 1/4x4 1/2x 6 1/2
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3 years ago
How do you solve this?​
blondinia [14]

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Step-by-step explanation:

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Step-by-step explanation:

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