To find the output of the equation y = 7x2 + 3 when the input is x = 4, we will substitute the value of x into the equation and perform the necessary calculations.
1. Substitute x with 4:
y = 7(4)2 + 3
2. Calculate (4)2:
(4)(4) = 16
3. Now, replace (4)2 in the equation:
y = 7(16) + 3
4. Multiply 7 by 16:
7 * 16 = 112
5. Finally, add 3:
y = 112 + 3 = 115
Therefore, when the input x is 4, the output y is 115.