+0

0
62
7
+216

Nov 9, 2021

#1
0

Polynomial Interpolation

$q(x) = -\frac{x^2}{10} + \frac{17}{10} x - 3$

$q(15) = -\frac{15^2}{10} + \frac{17}{10} \cdot 15- 3 = 0$

Nov 9, 2021
#3
+32741
+3

Looks like the peak occurs at x = 7.5.  Because of the symmetry of a quadratic the value of y(7.5 + 7.5) will be the same as y(7.5 - 7.5).  In other words y(15) = y(0).  It is easy to see what this value is on the graph.

Nov 9, 2021
edited by Alan  Nov 9, 2021
#4
+216
0

So is y(0) the y intercept?

Jmaster10  Nov 9, 2021
#5
+115358
+2

y(0) is the y value when x is 0.    So is this the y intercept?    What do you think?

Melody  Nov 9, 2021
#6
+216
0

Thanks

Jmaster10  Nov 10, 2021