If the parent graph f(x) = x² is changed to f(x) = 2x², the vertex of the parabola will still remain (0, 0) because whenever the equation of a parabola is in the form y = ax², the vertex will always be (0, 0).

Now if a is a big number, the parabola will become narrower.

So it will stretch vertically and become narrower.

8 0

3 years ago

The circle below has center C, and its radius is 4 feet. Find the area of the sector with central angle DCE given

garik1379 [7]

Answer:

$area = \frac{8}{3}pie ft^2$

Step-by-step explanation:

Area of sector is given as θ/360*πr²

Where,

θ = central angel of sector, m < DCE = 60°

r = radius = 4 feet

Area of sector = $\frac{60}{360}*pie*4^2$

$area = \frac{1}{6}*pie*16$

$area = \frac{1*16}{6}*pie$

$area = \frac{16}{6}*pie$

$area = \frac{8}{3}pie ft^2$

Area of the sector = 8/3π ft²

5 0

3 years ago

Over the past ten years, the town's population doubled in size. The population is currently 12,000. What was the population ten

Sidana [21]

I think the answer is 2P = 12,000 but I might be wrong

8 0

3 years ago

Complete the solution of the equation. find the value of y when x equals -8 8x+8y=-48

Korvikt [17]

8x + 8y = -48
-------------------------
Plug in -8 for x
(8) (-8) + 8y = -48
-------------------------------
Simplify
(8) (−8) + 8y = −48
−64 + 8y = −48
8y − 64 = −48
-----------------------------------------
Add 64 to each side
8y − 64 + 64 = −48 + 64
8y = 16
---------------------------------------------------
Finally, divide each side by 8
8y ÷ 8 = 16 ÷ 8
y = 2
----------------------------------------------------------------
y = 2 is your answer

4 0

3 years ago