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dedylja [7]
2 years ago
9

Can you help me im not that good at math and its a clear photo y =___x^2+__x+______

Mathematics
1 answer:
geniusboy [140]2 years ago
3 0
  • Vertex/General Form: y = a(x - h)^2 + k, with (h,k) as the vertex
  • (x + y)^2 = x^2 + 2xy + y^2
  • Standard Form: y = ax^2 + bx + c

So before I put the equation into standard form, I'm first going to be putting it into vertex form. Since the vertex appears to be (-1,7), plug that into the vertex form formula:

y=a(x-(-1))^2+7\\y=a(x+1)^2+7

Next, we need to solve for a. Looking at this graph, another point that is in this line is the y-intercept (0,5). Plug (0,5) into the x and y placeholders and solve for a as such:

5=a(0+1)^2+7\\5=a(1)^2+7\\5=a+7\\-2=a

Now we know that <u>our vertex form equation is y = -2(x + 1)^2 + 7.</u>

However, we need to convert this into standard form still, and we can do it as such:

Firstly, solve the exponent: y = -2(x^2+2x+1) + 7

Next, foil -2(x^2+2x+1): y = -2x^2-4x-2+7

Next, combine like terms and <u>your final answer will be: y = -2x^2-4x+5</u>

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Step-by-step explanation:

Here, the given question is INCOMPLETE.

Laura takes very good care of her vehicles. She owns a blue van and a red truck. Although she bought them both new, she has owned the truck for 17 years longer than she has owned the van. If the sum of the ages of the vehicles is 41 years, how old is the van and how old is the truck?

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One of u guys helped me but they keep returning it saying show your work&gt;:(​
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