y=2x^2+12x-10 if x = 4

1 answer

To find the value of \( y \) when \( x = 4 \) in the equation \( y = 2x^2 + 12x - 10 \), substitute \( x \) with 4:

\[ y = 2(4)^2 + 12(4) - 10 \]

Now, calculate each term:

  1. \( 2(4)^2 = 2 \times 16 = 32 \)
  2. \( 12(4) = 48 \)
  3. The constant term is \(-10\).

Now, combine these results:

\[ y = 32 + 48 - 10 \]

Calculating this step-by-step:

\[ 32 + 48 = 80 \] \[ 80 - 10 = 70 \]

Thus, the value of \( y \) when \( x = 4 \) is:

\[ \boxed{70} \]