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3 years ago

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The function f(x) = x2. The graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for

g(x)?
A. g(x) = (x + 6)2 - 5

B. g(x) = (x - 5)2 + 6

C. g(x) = (x - 6)2 + 5

D. g(x) = (x + 5)2 - 6

2 answers:

Lera25 [3.4K]3 years ago

5 0

G(x) = (x + 6)^2 - 5

Leokris [45]3 years ago

5 0

A. g(x) = (x+6)^2-5
because p value is -6 (- and - make +) and q value is -5 (+ and - make -).

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Answer: Ordinal

Step-by-step explanation:

We know that the ordinal scale is a level of measurement which is used when we are ordering attributes according to their ranks or preferences.

For example : In an exam we arrange position of students as :

First > Second > Third and so on.

Given : A group of women tried five brands of fingernail polish and ranked them according to preference. It means she is arranging the brands in an order .

Thus this is an ordinal level of measurement .

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3 years ago

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Please help me <br> thank you

lilavasa [31]

Use the Pythagorean theorem. We have legs with lengths of 15 and 20 miles, now let's solve for the hypotenuse.

$a=15$
$b=20$
$c=?$

$a^2+b^2=c^2$
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3 years ago

Which can be used to expand the expression below?

musickatia [10]

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3 years ago

Fred the owl is looking down at a 67° angle from the top of a tree that is 15 ft tall, when he spots a bird on the ground. How f

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Answer:

Fred C. 16.30 ft

Gary B. 169.67 m

Step-by-step explanation:

Fred the owl...

Always <u>draw a diagram first</u> (see diagram below). We assume trees are perpendicular (at 90°) to the ground. The situation forms a right-angle triangle.

We need to <u>find "x"</u>, which is the direct distance between the owl and the bird. "x" is also the hypotenuse, which is the longest side in a right-angle triangle. Since we know a side and an angle, we can find the hypotenuse using primary trigonometry ratios.

∠B will be the angle of reference (the angle we are "talking" about). The side we know is opposite to ∠B (15ft). We know it's opposite because it's not touching the angle. The side we need to find is the hypotenuse.

<u>Use the trig. ratio sine</u> because it has opposite and hypotenuse in it. The general formula is:

sinθ = opp/hyp

θ means the angle, and we know it is 67°.

Replace all the information you know:

sinB = opp/hyp

sin67° = (15ft) / x Isolate "x". Rearrange the equation.

xsin67° = (15ft) Divide both sides by sin67°

x = (15ft) / sin67°

x = 16.295... ft Exact answer in decimals

x ≈ 16.30 ft Rounded to nearest hundredth

Therefore Fred the owl is 16.30 feet from the bird.

Gary spots a monkey...

Draw a diagram first (see below). G is Gary, M is the monkey, T is the bottom of the Sears Tower. We need to <u>find "x"</u>, which is the distance between the monkey and the bottom of the tower.

The angle of reference is M, which is 69°. We need to find the adjacent side and we know the opposite side. <u>The trig. ratio that has adjacent and opposite is tangent.</u>

tanθ = opp/adj

Replace all the information you know:

tanM = opp/adj

tan69° = (442m) / x Rearrange the formula to isolate "x"

xtan69° = 442m Divide both sides by tan69°

x = 442m / tan69° Solve by dividing

x = 169.6679.... m Exact decimal answer

x ≈ 169.67m Rounded to the nearest hundredth

Therefore the monkey is 169.67 metres from the tower.

Remember all the trig. ratios using the acronym SohCahToa.

o = opposite side

a = adjacent side

h = hypotenuse side

S = sine, sin for short

C = cosine, cos for short

T = tangent, tan for short

The operation is always dividing the first side in the acronym by the second side.

sinθ = opp/hyp

cosθ = adj/hyp

tanθ = opp/adj

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3 years ago