Write whether each number is an expression or an equation 9+b
1 answer:
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Answer:
y = -4/36 * (x-6)^2 + 4
Step-by-step explanation:
The quadratic equation expressed in vertex from is
y = a(x-h)^2 + k
The vertex is
Vertex = (h,k) = (6,4)
This means
y = a(x-6)^2 + 4
To find a, we know that at 12 feet from the water jet, the height is equal to zero.
0 = a(12-6)^2 + 4
a = -4/36
Therefore, the equation is
y = -4/36 * (x-6)^2 + 4
Please see attached graph for reference.
<h3><u>Explanation</u></h3>
- Calculate the slope by using rise over run with two given coordinate points.
The slope is 2/3.
- Slope-intercept form
where m = slope and b = y-intercept. Substitute the value of m in slope-intercept form.
- Substitute one of two coordinate points in the slope-intercept form.
I will use (-3,2) instead.
The y-intercept is (0,4). Then rewrite the equation by substituting the b-value and slope in slope-intercept form.
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