Answer:
a. y = x^2 + 10
b. when x=5, y = 35
c. when y = 26, x = +4 or -4
Explanation:
Given
y = k (x^2/2 + 5), and
(2,14) is on the curve.
Solution:
Substitute x=2 and y=14 in the above equation
14 = k (2^2/2 + 5)
14 = k (2+5)
14 = 7k
k = 14/7 = 2
a. equation connecting x and y is
y = 2 (x^2/2 + 5), or
y = x^2 + 10
b. when x=5
y = 5^2 + 10 = 25 + 10 = 35
c. when y = 26
26 = x^2 + 10
x^2 = 26-10 = 16
x= sqrt(16) = +4 or -4