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3 years ago

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

Mathematics

1 answer:

aleksley [76]3 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

f(x)= -x -4

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lutik1710 [3]

Answer:

A: tan(25)

Step-by-step explanation:

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3 years ago

Given a required reserve ratio of 10 percent for all banks, total bank reserves of $400 billion could support maximum deposits o

serious [3.7K]

Answer:

The maximum deposit is $4,000 billion.

Step-by-step explanation:

Consider the provided information.

It is given that the required reserve ratio of 10 percent for all banks.

It is given that total bank reserves of $400 billion.

Let the maximum deposit is x.

Therefore, 10% of x = $400 billion

$\frac{10}{100}\times x=\$400\text{ billion}$

$x=\frac{100}{10}\times \$400\text{ billion}$

$x=10\times \$400\text{ billion}$

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Hence, the maximum deposit is $4,000 billion.

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3 years ago

Can someone help me find x

Viefleur [7K]

Answer:

Rounded to the nearest tenth: $x=5.7$ in

Rounded to the nearest hundredth: $x=5.74$ in

Step-by-step explanation:

We have a right triangle with a given angle of 35°. We also have the opposite side of that angle, $x$ , and its hypotenuse 10 in. To find $x$ , we are using the trig function that relates the opposite side with the hypotenuse; in other words, the sine trig function.

$sin\alpha =\frac{opposite}{hypotenuse}$

$sin(35)=\frac{x}{10}$

$x=10sin(35)$

$x=5.735764364$

Rounded to the nearest tenth: $x=5.7$ in

Rounded to the nearest hundredth: $x=5.74$ in

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3 years ago

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aniked [119]

Answer:

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2 years ago

Which graph represents a proportional relationship?

Vadim26 [7]

Answer:

The one shown in the photo

Step-by-step explanation:

A proportional relationship is one in which the relationship increases steadily, which looks like a straight line when graphed. Also, the line should pass through the <em>origin</em>, which is the point (0, 0) on a graph.

The graph shown increases steadily (it's a straight line), and passes through the origin (point 0,0) as well. So, it's proportional. Hopefully that's helpful! :)

7 0

3 years ago

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

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