All categories

3 years ago

Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = −9(x + 3) − 5?

Mathematics

1 answer:

worty [1.4K]3 years ago

7 0

Answer:

Option A

Step-by-step explanation:

Firstly, the negative (in -9) means that it is reflected over the x-axis. Then the 9 as a whole number means it is compressed vertically. X+3 means shifted three units to the left(It is the opposite for left and right in transformations.) Finally the -5 indicated it is shifted down by 5 units.

You might be interested in

A pound of blueberries costs $3.98 and a pound of clementines costs $2.49. What is the combined cost of 0.6 pound of blueberries

siniylev [52]

The combined cost of 0.6 pound of blueberries and 1.8 pounds of clementines is $ 6.87

Solution:

Given that,

Cost of 1 pound of blueberries = $ 3.98

Cost of 1 pound of clementines = $ 2.49

To find: combined cost of 0.6 pound of blueberries and 1.8 pounds of clementines

Let us first find cost of 0.6 pound of blueberries

cost of 0.6 pound of blueberries = 0.6 x Cost of 1 pound of blueberries

$\rightarrow 0.6 \times 3.98 = 2.388$

Thus, cost of 0.6 pound of blueberries is $ 2.388

Find cost of 1.8 pounds of clementines

cost of 1.8 pound of clementines = 1.8 x cost of 1 pound of clementines

$\rightarrow 1.8 \times 2.49 = 4.482$

Thus, cost of 1.8 pound of clementines is $ 4.482

Find combined cost of 0.6 pound of blueberries and 1.8 pounds of clementines

Combined cost = cost of 0.6 pound of blueberries + cost of 1.8 pound of clementines

Combined cost = 2.388 + 4.482 = 6.87

Thus combined cost of 0.6 pound of blueberries and 1.8 pounds of clementines is $ 6.87

5 0

3 years ago

a line with a slope of 2 passes through (k,3) and (6,k) on the coordinate grid. what is the value of k?

kirill [66]

Answer:

k = 5

Step-by-step explanation:

Calculate the slope m and then equate to 2

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (k, 3) and (x₂, y₂ ) = (6, k)

m = $\frac{k-3}{6-k}$ = 2 ( cross- multiply )

2(6 - k) = k - 3

12 - 2k = k - 3 ( subtract k from both sides )

12 - 3k = - 3 ( subtract 12 from both sides )

- 3k = - 15 ( divide both sides by - 3 )

k = 5

8 0

3 years ago

The altitude a (in feet) of a plane t minutes after liftoff is given by a = 3400t + 600. How many minutes after liftoff is the p

Aloiza [94]

Answer:

Step-by-step explanation:

Altitude = 3400t +600

21,000 = 3400t +600

21000-600= 3400t

20400/3400 = 3400t/3400

t= 6

Answered by Gauthmath

4 0

3 years ago

paper costs $1.50, which inequality is used to find how many rolls of paper could be purchased with less than $12?

Usimov [2.4K]

Answer:

1.50x < 12 (the inequality would just be "less than")

Step-by-step explanation:

4 0

3 years ago

: If tan A=- 9/13 and 0 < A < 180, find, without using tables or calculators, the value of

stich3 [128]

Answer: $\bold{\sin A=\dfrac{9\sqrt{10}}{50}\qquad \cos A=-\dfrac{13\sqrt{10}}{50}}$

Step-by-step explanation:

0° < A < 180° so it is in Quadrant I or II

since tan A is negative, it is in Quadrant II ---> (-x, +y)

$\text{Given}:\tan A=\dfrac{y}{x}\ =\dfrac{9}{-13}$

Next, find the hypotenuse given that x = -13 and y = 9

(-13)² + (9)² = r²

250 = r²

5√10 = r

$\sin A = \dfrac{y}{r}\quad =\dfrac{9}{5\sqrt{10}}\bigg(\dfrac{\sqrt{10}}{\sqrt{10}}\bigg)\quad =\large\boxed{\dfrac{9\sqrt{10}}{50}}\\\\\\\\\cos A = \dfrac{x}{r}\quad =\dfrac{-13}{5\sqrt{10}}\bigg(\dfrac{\sqrt{10}}{\sqrt{10}}\bigg)\quad =\large\boxed{-\dfrac{13\sqrt{10}}{50}}$

8 0

3 years ago