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Semmy [17]
2 years ago
10

Writing Equations of Lines

Mathematics
1 answer:
Vlada [557]2 years ago
4 0

Answer:

Please leave more information.

Step-by-step explanation:

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Rewrite the function in standard form, intercept form, find the vertex, find the y-intercept, and find the x-intercepts.
jasenka [17]

Answer:

We have the function, f(x)=(x+3)^{2}-4

On simplifying, we get,

f(x)=x^2+6x+9-4

i.e. f(x)=x^2+6x+5

Thus, the standard form of the function is f(x)=x^2+6x+5.

Now, the factors of the given functions are (x+1) and (x+5).

<em>Since, the intercept form of the function is the factored form of the function.</em>

So, we have, intercept form of the function is f(x)=(x+1)(x+5).

Now, we know that,

Value of x-coordinate of the vertex is \frac{-b}{2a} i.e. \frac{-6}{2\times 1} i.e. \frac{-6}{2} i.e. x= -3

Then, f(-3)=(-3)^2+6\times (-3)+5 i.e. f(-3)=9-18+5 i.e. f(-3)=-4

So, the vertex of the function is (-3,-4).

Further, we know that,<em> 'the y-intercept of a function is the point where the function crosses y-axis'.</em>

So, when x=0, we have, f(0)=0^2+6\times 0+5 i.e. f(0) = 5

Thus, the y-intercept is (0,5)

Also, <em>'the x-intercept of a function is the point where the function crossese x-axis'.</em>

Then, for f(x)=0, we have 0=x^2+6x+5 i.e. 0=(x+1)(x+5) i.e. x= -1 and x= -5

Thus, the x-intercept are (-1,0) and (-5,0).

8 0
3 years ago
Is there a value c, for 0
Sedaia [141]

Answer:

 

Step-by-step explanation:

   

4 0
3 years ago
Three consecutive odd integers are such that the sum of the first and second is 31 less than 3 times the third. Find the integer
Otrada [13]

1st:x

2nd x+2

3rd: x+4

(x)+(x+2) = 3(x+4)-31

distribute

2x+2 = 3x+12-31

2x+2 =3x-19

subtract 2x from each side

2 = x-19

add 19 to each side

21 =x

Answer: 21,23,25

3 0
3 years ago
Equations that equal 12
crimeas [40]
I hope this helps you


12=3.4=3.2^2
6 0
3 years ago
Read 2 more answers
Evaluate the expression for<br> x = 6, y = -10:<br> 3x - 7y
Natasha_Volkova [10]

Answer:

88

Step-by-step explanation:

hello,

we need to replace x by 6 and y by -10 so it comes

3*(6)-7*(-10)

= 18 + 70 = 88

hope this helps

8 0
3 years ago
Read 2 more answers
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