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Roman55 [17]
3 years ago
13

Write the function in vertex form y=x^2+6x+3

Mathematics
2 answers:
damaskus [11]3 years ago
7 0

Answer:

y = 1(x + 3)² - 6

Step-by-step explanation:

The <em>standard form</em> of a quadratic function is  

y = ax² + bx + c

The <em>vertex form</em> of a parabola is

y = a(x - h)² + k

where (h, k) is the <em>vertex</em> of the parabola.

h = -b/(2a) and k = f(h)

In the equation y= x² + 6x + 3

a = 1; b = 6; c = 3

=====

<em>Calculate h </em>

h = -6/(2×1)

h = -6/2

h = -3

=====

<em>Calculate k </em>

k = 1(-3)² + 6(-3) + 3

k = 9 - 18 +3

k = -6

=====

Write the <em>vertex form of the equation</em>

y = 1(x + 3)² - 6

The graph is a parabola with a vertex at (-3, -6).

Keith_Richards [23]3 years ago
4 0

Answer:

Step-by-step explanation:

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I have an equation the first one says x+y=-9 and then 5x-2y=32 and idk how to answer it
horsena [70]
Put in slope intercept form so the first equation would be y=-x-9 then the second one will be y=-5/2x-16
7 0
3 years ago
A water tank contains 12 1/2 ltres of water. Two-fifth of it was (1 mark) consumed. How much of it was left?
SVEN [57.7K]

Answer:

7 1/2

Step-by-step explanation:

A water tank contains 12 1/2 liters

= 25/2

Two fifth of it was consumedd

= 25/2 ×2/5

= 50/10

= 5

12.5-5

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4 0
3 years ago
Which number has the prime factorization of 2x2x2x7
-Dominant- [34]

Answer:56

Step-by-step explanation:

the answer is 56 because when u multiple all of them  together the answer is 56

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i hope this helps

8 0
3 years ago
Greg the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the ot
MA_775_DIABLO [31]
This problem can be solved by algebraic method.
Let
x = the total time spent of all clients in Plan A
y = the total time spent of all clients in Plan B
We represent two variables x and y because there are two plans that won't be happened simultaneously.
On Wednesday, the two workout plans have the total time of 6 hours. We equate
3x + 5y = 6
While on Thursday, the total time is 12 hours. We also equate
9x + 7y = 12

To find x and y, we can use the substitution method. For the first equation, we arrange it in terms of y, that is
5y = 6 - 3x
y = (6 - 3x)/5

Substitute it to the second equation:
9x + (7/5)(6 - 3x) = 12
9x + (42/5) - (21/5)x = 12
Multiply the equation by 5 to cancel the denominator:
45x + 42 - 21x = 60
45x - 21x = 60 - 42
24x = 18
x = 18/24 = 3/4 hours

For y:
3(3/4) + 5y = 6
9/4 + 5y = 6
Multiply the equation by 4 to cancel the denominator:
9 + 20y = 24
20y = 24 - 9
20y = 15
y = 15/20 = 3/4 hours

Hence, each workout plans are done within 3/4 hours (or 45 minutes).
4 0
3 years ago
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