3 years ago

Graph f(x)=-2x^2-12x-21

1 answer:

5 0

Step-by-step explanation:

First, find the vertex. The x coordinate is -b/2a, or 12/-4=-3. Plug this back in to get -18+36-21 or -3, so the vertex is (-3, -3). Now, slowly make the x -2, -1, 0, 1, on and on. Because parabolas are symmetric along the vertex, they will have the same values as -4, -5, -6, on and on.

You might be interested in

. Choose the equation below that represents the line passing through the point (2, – 5) with a slope of −3. I also need help usi

Arturiano [62]

Y=-3x+1 is your equation. And the online graphing calculation I use is desmos.com. It's free too.

3 0

4 years ago

Read 2 more answers

Use CALCULUS to find coordinates of the turning point on C.

antiseptic1488 [7]

Oi

Just calculating the differential. Step by step:

$y=12 \sqrt{x} -x \frac{3}{2}-10 \\ \\ y=12x^{ \frac{1}{2} } -x \frac{3}{2}-10 \ \ \ \boxed{transform \ \sqrt{x} =x^{ \frac{1}{2} }} \\ \\ Differentiating \\ \\ y'=12. \frac{1}{2}.x^{ \frac{1}{2}-1 } -1.x^{1-1}. \frac{3}{2}-0 \\ \\ y'=6.x^{ -\frac{1}{2} } -x^{0}. \frac{3}{2} \\ \\ y'=6. \frac{1}{x^{ \frac{1}{2} }} -1. \frac{3}{2} \\ \\ \boxed{y'=\frac{6}{ \sqrt{x} } -\frac{3}{2}}$

If you want to know where the tangent has no slope:

$\frac{6}{ \sqrt{x} } - \frac{3}{2} =0 \\ \\ \frac{6}{ \sqrt{x} } = \frac{3}{2} \\ \\ 3 \sqrt{x} =12 \\ \\ \sqrt{x} = \frac{12}{3} \\ \\ \sqrt{x} =4 \\ \\ (\sqrt{x})^2 =4^2 \\ \\ x=16$

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B7%7D%7B2%7D%5E%7B2%7D-%5Cfrac%7B3%7D%7B4%7D%5E%7B1%7D%29%2A%5Cfrac%7B1%7D%7B3%7D"

KIM [24]

The answer is = 7 11/12

7 0

3 years ago

Read 2 more answers

PLEASE help will mark branliest!! Find the number of possibilities using combinations. image attached.

seropon [69]

Answer:

121

Step-by-step explanation:

5 0

3 years ago

A scuba diver dives 750 feet underwater, swims up 375 feet, and then swims down 225 feet. After all of that where is the diver a

ryzh [129]

Answer:

600ft

Step-by-step explanation:

750 - 375 + 225 = 600

6 0

3 years ago