Does the point (0, 4) satisfy the equation y = -8x² + -5x + -4?

To determine if the point (0, 4) satisfies the equation ( y = -8x^2 – 5x – 4 ), we can substitute ( x = 0 ) into the equation and see if we get ( y = 4 ).

1. Substitute ( x = 0 ):

[

y = -8(0)^2 – 5(0) – 4

]

This simplifies to:

[

y = -4

]

Since the calculated ( y ) is (-4) and not (4), the point (0, 4) does not satisfy the equation.

Answer: no

Explanation: After substituting ( x = 0 ) into the equation, we found ( y = -4), which does not equal (4).