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docker41 [41]
3 years ago
6

The graph of a quadratic function has roots at -3 and -7 and a vertex at (-5, 4). What is the equation of the function in vertex

form?
Mathematics
1 answer:
melomori [17]3 years ago
3 0

Answer:

y = -(x + 5)² + 4

Step-by-step explanation:

The roots are -3 and -7, so:

y = a (x + 3) (x + 7)

Distribute and complete the square:

y = a (x² + 10x + 21)

y = a (x² + 10x + 25 − 4)

y = a (x² + 10x + 25) − 4a

y = a (x + 5)² − 4a

The vertex is (-5, 4), so a = -1.

y = -(x + 5)² + 4

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Solve eight and two fourths minus three and one third
soldier1979 [14.2K]

Answer:

5 1/6

Step-by-step explanation:

Rewriting our equation with parts separated

=8+2/4−3−1/3

Solving the whole number parts

8−3=5

Solving the fraction parts

2/4−1/3=?

Find the LCD of 2/4 and 1/3 and rewrite to solve with the equivalent fractions.

LCD = 12

6/12−4/12=2/12

Reducing the fraction part, 2/12,

2/12=1/6

Combining the whole and fraction parts

5+1/6=5 1/6

3 0
3 years ago
Explain I don’t understand
Serggg [28]
So just divide 100 by 25 which equals 4 then divide 120 by 30 which also equals to 4 and if the rest equal 4 then its proportional (1)
And then same for 2 and 3 just divided the bottom by the top and if they all get the same answer they are proportion and if one is not the same then it’s not

For the grids if the dots are line diagonally straight and it starts at the 0 then it’s proportional if not then it’s not

Hope this helps :)
7 0
3 years ago
Here's a graph of a linear function. Write the
skad [1K]
I took 2 points from the graph and found my slope by using the slope formula, then I found my y-int which is the where the y crosses and that is -3. Hope this helps good luck !!

Answer: y=1/2x-3

8 0
3 years ago
Could someone please help me with this. You will be awarded 15 points!
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Answer:

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5 0
3 years ago
Read 2 more answers
Amber is solving the inequality |x+6|-12<13 by graphing. Which equations should Amber graph?
DENIUS [597]

Answer:

  • y₁ = |x + 6| and y₂ = 25

Step-by-step explanation:

<u>Given inequality</u>

  • |x+6| - 12 < 13
  • |x+6| < 13 + 12
  • |x+6| < 25

To solve this inequality graphically you need two graphs according left and right sides of inequality

<u>So the graphs should be:</u>

  • y₁ = |x + 6| and y₂ = 25

See attached for the graph

3 0
2 years ago
Read 2 more answers
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