in a two digit number the sum of the digits is 9 if the digits are reversed the number is increased by 9 find the number
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The vertex form of the equation of a parabola is given by
where (h, k) is the vertex of the parabola.
Given that the vertex of the parabola is (-12, -2), the equation of the parabola is given by
For a = 1,
<span>The parabola whose minimum is at (−12,−2) is given by the equation
, where a = 24 and b = 112.</span>
where (h, k) is the vertex of the parabola.
Given that the vertex of the parabola is (-12, -2), the equation of the parabola is given by
For a = 1,
<span>The parabola whose minimum is at (−12,−2) is given by the equation
Using the given information we found that the equation of the parabola is:
y = (-4/9)*(x - 3)^2 + 5
And its graph is below.
<h3>How to get the equation of the parabola?</h3>
For a parabola with vertex (h, k), the equation is:
y = a*(x - h)^2 + k
Here the vertex is (3, 5), so the equation is:
y = a*(x - 3)^2 + 5
And the y-intercept is y = 1, this means that:
1 = a*(0 - 3)^2 + 5
1 = a*9 + 5
1 - 5 = a*9
-4/9 = a
So the parabola is:
y = (-4/9)*(x - 3)^2 + 5
And its graph is below.
If you want to learn more about parabolas, you can read:
