Bananas1234
  • Bananas1234
Where is the vertex of the parabola? y = x2 + 2x – 3 Above the x-axis Below the x-axis On the x-axis On the y-axis
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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JoannaBlackwelder
  • JoannaBlackwelder
The x coordinate of the vertex can be found by using the formula -b/2a for a quadratic in standard form.
JoannaBlackwelder
  • JoannaBlackwelder
And the y coordinate from substituting that value back in for x and solving for y.
JoannaBlackwelder
  • JoannaBlackwelder
So, what do you get for the x coordinate of the vertex?

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Bananas1234
  • Bananas1234
i am stil not sure @JoannaBlackwelder
JoannaBlackwelder
  • JoannaBlackwelder
Can you identify a, b, and c?
Bananas1234
  • Bananas1234
no
JoannaBlackwelder
  • JoannaBlackwelder
ax^2 + bx + c
JoannaBlackwelder
  • JoannaBlackwelder
So, a is 1, b is 2, and c is -3
JoannaBlackwelder
  • JoannaBlackwelder
Do you see how I got those numbers?
Bananas1234
  • Bananas1234
i think so
JoannaBlackwelder
  • JoannaBlackwelder
They are the coefficients of each term in the quadratic.
JoannaBlackwelder
  • JoannaBlackwelder
So, can you try to plug those numbers into the formula I gave?
Bananas1234
  • Bananas1234
ax^2 + bx + c = 1x^2 + 2x + -3
JoannaBlackwelder
  • JoannaBlackwelder
So, that is the expression given in the problem. Do you see how that is the same?
JoannaBlackwelder
  • JoannaBlackwelder
The formula I was meaning is the -b/2a for the x coordinate of the vertex.
Bananas1234
  • Bananas1234
-2/2^1
JoannaBlackwelder
  • JoannaBlackwelder
Close, -2/2*1
JoannaBlackwelder
  • JoannaBlackwelder
So, that simplifies to -1
JoannaBlackwelder
  • JoannaBlackwelder
And that is the x coordinate of the vertex. :-)
Bananas1234
  • Bananas1234
ok
JoannaBlackwelder
  • JoannaBlackwelder
Now we need to find the y coordinate to find the specific point.
JoannaBlackwelder
  • JoannaBlackwelder
We do that by subbing in the -1 into x into the expression.
JoannaBlackwelder
  • JoannaBlackwelder
(-1)^2 + 2(-1) - 3
JoannaBlackwelder
  • JoannaBlackwelder
See how I did that?
Bananas1234
  • Bananas1234
yes
JoannaBlackwelder
  • JoannaBlackwelder
:-) So, what does that simplify to?
Bananas1234
  • Bananas1234
-4
JoannaBlackwelder
  • JoannaBlackwelder
Right! So, what is the coordinate of the vertex?
Bananas1234
  • Bananas1234
-1,-4
JoannaBlackwelder
  • JoannaBlackwelder
Sweet. So, is that above, below, or on the axes?
Bananas1234
  • Bananas1234
below
JoannaBlackwelder
  • JoannaBlackwelder
:-)
Bananas1234
  • Bananas1234
Thanks so much!
JoannaBlackwelder
  • JoannaBlackwelder
You're welcome!

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