Question

Is the ordered pair

(
−
3
,
−
4
)
a solution on the graph of
y
=
−
2
x
2
+
3
x
−
4
,
and why?

No. For an
x
-value of
−
3
on the graph of
y
=
−
2
x
2
+
3
x
−
4
,
the
y
-value is
−
31
because
−
2
(
−
3
)
2
+
3
(
−
3
)
−
4
=
−
31.
No. For an x-value of negative 3 on the graph of y is equal to negative 2 x squared plus 3 x minus 4 comma the y-value is negative 31 because negative 2 times negative 3 squared plus 3 times negative 3 minus 4 is equal to negative 31 point

No. The coordinates are reversed because when
y
=
−
3
,
x
=
−
4
;
therefore, the point
(
−
4
,
−
3
)
is the correct point on the graph of the function.
No. The coordinates are reversed because when therefore, the point open paren negative 4 comma negative 3 close paren is the correct point on the graph of the function.

Yes. For an
x
-value of
−
3
on the graph of
y
=
−
2
x
2
+
3
x
−
4
,
the
y
-value is
−
4
because
−
2
(
−
3
)
2
+
3
(
−
3
)
−
4
=
−
4.
Yes. For an x-value of negative 3 on the graph of y is equal to negative 2 x squared plus 3 x minus 4 comma the y-value is negative 4 because negative 2 times negative 3 squared plus 3 times negative 3 minus 4 is equal to negative 4 point

Yes. The point
(
−
3
,
−
4
)
represents a solution to the equation because when
x
=
−
4
,
y
=
−
3
;
therefore,
(
−
3
,
−
4
)
is a point on the graph of the function.
Yes. The point open paren negative 3 comma negative 4 close paren represents a solution to the equation because when therefore, open paren negative 3 comma negative 4 close paren is a point on the graph of the function.

Answer 1

no, because for x=-3, y would have to be -31

Explanation:

boy oh boy (or girl oh girl) - you wrote this in a horrible, horrible format.

I can only guess what your problem and the fitting answer would be.

y = -2×x^2 + 3×x - 4

-4 = -2×(-3)^2 + 3×(-3) - 4

-4 = -2×9 - 9 - 4

-4 = -18 - 9 - 4

-4 = -31

and that is wrong. for (-3,-4) to be on the graph of the function, y would have to be -4 when using x=-3 in the function. but y = -31 for x= -3.