Simplify: 1. 4x−(1−2x)+(2x−7) 2. (3−0.4a)−(10−0.8a)
1 answer:
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The equation which is results from taking the square root of both sides of the provided equation is,
A square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.
Let a number is <em>a. </em>Then this number in the form of square root can be written as,
The given algebraic equation in the problem is,
Take the square root, in both sides,
Cancel out the square root with the square of the number as,
Hence, the equation which is results from taking the square root of both sides of the provided equation is,
Learn more about the square root of number here;
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:
