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3 years ago

Function g can be thought of as a translation (shifted) version of f(x)=x^2

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

8 0

Answer:

Step-by-step explanation:

f(x)=x^2 represents a parabola with vertex at (0, 0), that opens up.

If we translate this graph h units to the right, then g(x) will be:

g(x) = (x - h)^2.

If we translate the graph of f(x)=x^2 k units up, then g(x) will be:

f(x)=x^2 + k

Next time, please indicate whether you are shifting the original graph to the right or to the left, and/or up or down.

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A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an

Nataly [62]

Answer:

The distance between the walls is 70 m.

Step-by-step explanation:

Given: A source of laser light is at point A on the ground between two parallel walls BE and CD . The walls are perpendicular to the ground that is

BE ⊥ ED and CD ⊥ ED

AB is a ray of light which strikes the wall on the left at point B which is 30 meters above the ground. that is BE = 30 m

AC is a ray of light which strikes the wall on the right at point C. The length of AC = 80 meters.

The ray AB makes an angle of 45 degrees with the ground that is m∠BAE = 45°

The ray AC makes an angle of 60 degrees with the ground that is m∠CAD = 60°

As shown is figure attached below.

WE have to find the distance between the walls that is Length of ED

Length of ED = EA + AD

Consider the Δ AEB,

Using trigonometric ratio,

$\tan\theta=\frac{perpendicular}{base}$

Here $\theta=45^{\circ}$ , perpendicular = 30 m and base we can find.

thus,

$\tan 45^{\circ}=\frac{30}{EA}$

We know $\tan 45^{\circ}=1$

thus, EA = 30 m

Consider the Δ AEB,

Using trigonometric ratio,

$\cos\theta=\frac{base}{hypotenuse}$

Here $\theta=60^{\circ}$ , hypotenuse = 80 m and base we can find.

thus, $\cos 60^{\circ}=\frac{base}{80}$

We know, $\cos 60^{\circ}=\frac{1}{2}$

thus, Base = 40 m

AD = 40 m

Thus, the distance between the walls that is the length of ED = 30 + 40 = 70 m

4 0

3 years ago

Find the area of a regular octagon with apothem of 8.45 cm and a side length of 7 cm

levacccp [35]

Step-by-step explanation:

<h3>Area of octagon = 2(1+√2)a²</h3><h3> = 2(1+√2)7²</h3><h3> = 236.59cm²</h3>

<h2>MARK ME AS BRAINLIST</h2>

4 0

3 years ago

Simplify the expression<br><br>9x⁰y⁸<br>____<br>z⁸

Olenka [21]

Anything raised to exponent 0 equals 1

$x^{0}=1$

So we get

$\frac{9 (1) y^8}{z^8} = \frac{9y^8}{z^8}$

3 0

3 years ago

Read 2 more answers

Please help me

Inga [223]

Answer:

Step-by-step explanation:

All real numbers are solution

Step 1: Simplify both sides of the inequality.

8x−7<8x−3

Step 2: Subtract 8x from both sides.

8x−7−8x<8x−3−8x

−7<−3

Step 3: Add 7 to both sides.

−7+7<−3+7

0<4

hope this help:)

5 0

2 years ago

A number to the 12th power divided by the same number to the 9th power equals 64 what is the number

Bess [88]

Answer:

The statement written as a formula is. a12a9=125. We can simplify the fraction, and we have. a3=125. To solve for a , take the third root

Step-by-step explanation:

8 0

3 years ago