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ipn [44]
1 year ago
5

Use completing the square to rewrite the function in vertex form. f(x)=x2+6x−5

Mathematics
1 answer:
Soloha48 [4]1 year ago
4 0

Answer:

f(x) = (x + 3)² - 14

Step-by-step explanation:

f(x) = x² + 6x - 5

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

f(x) = x² + 2(3)x + 9 - 9 - 5

     = (x + 3)² - 14 ← in vertex form

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Describe the graph of the function. y = |x – 4| – 7
Lemur [1.5K]

Answer:

This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:

(x-4)=0 ===> x=4,

so that now you have to plot 2 functions!

For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:

|x-4| = -(x-4)=4-x

Then:

for x<=4, y = -x+4-7 = -x-3

for x=>4, (x-4) is positive, so no changes:

y= x-4-7 = x-11,

Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11

In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:

x=4 and x= 3 for y=-x-3

And just x=5 for y=x-11

The reason is that the absolute value is continuous, so x=4 works for both:

x=4===> y=-4-3 = -7

x==4 ====> y = 4-11=-7!

abs() usually have a cusp int he point where it is =0

Step-by-step explanation:

5 0
3 years ago
Isaiah brought two donuts to a class party.half on the donuts had vanilla frosting with sprinkles,2 had strawberry frosting with
garik1379 [7]

Answer:

22 /24 of donuts has sprinkles

Step-by-step explanation:

I suppose: Isaiah brought two "DOZEN" donuts to a class party (?)

the donuts had sprinkles : 12 + (24 - 12 -2) = 22     24 -2 = 22

7 0
3 years ago
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Vlad1618 [11]

Answer:

that is the correct answer

7 0
2 years ago
Linear equations<br>m-18=-28​
garik1379 [7]

Answer:

m=-10

Step-by-step explanation:

move -18 to the right, -18 will be 18 and 18-28 is -10.

8 0
2 years ago
Please help ! A <br><br> ASAP
yawa3891 [41]
I believe the answer is 6. hope this helps!
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3 years ago
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