The vertex form of a parabolic function has the general formula:
f(x) = a(x-h)^2 + k where (h,k) represent the vertex of the parabola.
Therefore, to write the given equation in vertex form, we will need to transform it to the above formula as follows:
<span>y = 9x^2 + 9x - 1
</span>y = 9(x^2 + x) - 1
y = 9(x^2 + x + 1/4 - 1/4)-1
y = 9((x+1/2)^2 - 1/4)-1
y = 9(x + 1/2)^2 - 9/4 - 1
y = 9(x + 1/2)^2 - 13/4 ..............> The equation in vertex form
If you need the vertex of the parabola, it will simply be (-1/2 , -13/4)
Answer:
Step-by-step explanation:
Your equation is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Your line has a slope of 7. In order to find the line perpendicular to this line, we have to take the opposite reciprocal of the slope. The perpendicular slope to m = 7 is m = -1/7. Now we go through x = -5 and y = 6 to find the new equation.
6 = -1/7(-5) + b gives us
6 = 5/7 + b and
b = 37/7
Therefore, the equation of the line perpendicular to your original line is
1 , 2 , 6 , 12
1 x 12=12
2x6=12
D would be the most reasonable because the whole set up adds up to 10 and you only have a chance of drawing all of the colors in a row