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Given that the quadratic equation is
We need to determine the y - value of the vertex.
<u>The x - value of the vertex:</u>
The x - value of the vertex can be determined using the formula,
where
Substituting these values, we get;
Simplifying the terms, we get;
Thus, the x - value of the vertex is -5.
<u>The y - value of the vertex:</u>
The y - value of the vertex can be determined by substituting the x - value of the vertex ( x = -5) in the equation
Thus, we get;
Simplifying the values, we have;
Thus, the y - value of the vertex is 49.
<span><u><em>Answer:</em></u>
g = 3
<u><em>Explanation:</em></u>
To solve for g, we will need to isolate the g on one side of the equation.
<u>This can be done as follows:</u>
</span>
<span>
<u>1- multiply all terms by 14 to get rid of the fraction:</u>
4g - 6 - g = 3
<u>2- Combine like terms:</u>
4g - g = 3 + 6
3g = 9
<u>3- Isolate the g:</u>
</span>
<span>
g = 3
Hope this helps :)</span>
g = 3
<u><em>Explanation:</em></u>
To solve for g, we will need to isolate the g on one side of the equation.
<u>This can be done as follows:</u>
</span>
<u>1- multiply all terms by 14 to get rid of the fraction:</u>
4g - 6 - g = 3
<u>2- Combine like terms:</u>
4g - g = 3 + 6
3g = 9
<u>3- Isolate the g:</u>
</span>
<span>
g = 3
Hope this helps :)</span>