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Write the equation for a parabola that has x− intercepts (−1.6,0) and (−3.2,0) and y−intercept (0,25...
5 months ago
Q:
Write the equation for a parabola that has x− intercepts (−1.6,0) and (−3.2,0) and y−intercept (0,25.6).
Accepted Solution
A:
x-intercepts are zeroes of the parabola.
(x-x1)(x-x2)=(x+1.6)(x+3.2)=x² +1.6x+3.2x+5.12=x²+4.8x+5.12
y=x²+4.8x+5.12, but the y-int. is (0, 25.6),
So, our parabola should look like
y=5(x²+4.8x+5.12)
y=5x²+24x+25.6