Question

При каком значении С график функции y=2x^2+7x+c проходит через точку А (-10;150)?

Answer 1

Finding the Value of C

To find the value of C for the function y = 2x^2 + 7x + c, we can substitute the coordinates of point A (-10, 150) into the equation and solve for C.

Substituting x = -10 and y = 150 into the equation, we get:

150 = 2(-10)^2 + 7(-10) + c

Simplifying the equation:

150 = 200 - 70 + c

Combining like terms:

150 = 130 + c

To isolate c, we subtract 130 from both sides:

c = 150 - 130

c = 20

Therefore, when the graph of the function y = 2x^2 + 7x + c passes through the point A (-10, 150), the value of c is 20.