The general equation for a parabola can be written as: (x - h)2 = 4a(y - k) where (h, k) are the coordinates of the vertex.
Since we are told that y = 20 at the vertex, then we know immediately that k = 20.
The y-intercept occurs where x = 0, so we have: (0 - h)2 = 4a(15 - 20) ...(1)
A zero of the equation means the value of x where y = 0, so we also have: (3 - h)2 = 4a(0 - 20) ...(2)
Can you use equations (1) and (2) to find two sets of values for h and a?
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The general equation for a parabola can be written as: (x - h)2 = 4a(y - k) where (h, k) are the coordinates of the vertex.
Since we are told that y = 20 at the vertex, then we know immediately that k = 20.
The y-intercept occurs where x = 0, so we have: (0 - h)2 = 4a(15 - 20) ...(1)
A zero of the equation means the value of x where y = 0, so we also have: (3 - h)2 = 4a(0 - 20) ...(2)
Can you use equations (1) and (2) to find two sets of values for h and a?
.