Question

Column #1
The x-coordinate of the vertex of the equation
y = 2x2 − 4x + 12

Column #2
The x-coordinate of the vertex of the equation
y = 4x2 + 8x + 3

a. The value found in column #1 is greater than the value found in column #2.
b. The value found in column #1 is less than the value found in column #2.
c. The value found in column #1 is equivalent to the value found in column #2.
d. The relationship between column #1 and column #2 cannot be determined by the information given.

Answer 1

The x-coordinate of the vertex for the equation: \(\sf \color{bl}{a}x^2+\color{red}{b}x+c\) is

\(\sf\Large h=\frac{-\color{red}{b}}{2\color{blue}{a}}\)

The h is because the vertex is written as \(\sf (h,k)\) so the x-coordinate of the vertex would be 'h'.

Answer 2

Thank you so much!

Answer 3

The x-coordinate of the vertex for the equation: \(\sf \color{blue}{a}x^2+\color{red}{b}x+c\) is

\(\sf\Large h=\frac{-\color{red}{b}}{2\color{blue}{a}}\)

The h is because the vertex is written as \(\sf (h,k)\) so the x-coordinate of the vertex would be 'h'.
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I fixed it up to include the blue 'a' in ax^2+bx+c as I messed up with the latex :p