Question 251192: A parabola is tangent to the x-axis, has a y-intercept of 18 and passes through the point (2. 8). What are the two possible quadratic equations?
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! A parabola is tangent to the x-axis, has a y-intercept of 18 and passes through the point (2. 8). What are the two possible quadratic equations?
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Since it's tangent, the 2 roots are the same.
(x - a)^2 = 0
x^2 - 2ax + a^2 = 0
a^2 = 18
a = +3sqrt(2)
a = -3sqrt(2)
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--> y = x^2 ± 6sqrt(2) + 18
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One goes thru (2,8), the other goes thru (-2,8).
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