Which of the following coordinate pairs is a point on the parabola y=2x^2-24x-15

Question

(-11, 7)
(2, -47)
(11, -37)
(2, -15)

Answer 1

To determine which of the given coordinate pairs is a point on the parabola described by the equation $y=2x^2-24x-15$, we will substitute the $x$ values from each pair into the equation and see if we get the corresponding $y$ value.

1. For $(-11,7)$: $x=-11$ $$y=2(-11{)}^2-24(-11)-15=2(121)+264-15=242+264-15=491$$ $y\ne 7$

2. For $(2,-47)$: $x=2$ $$y=2(2{)}^2-24(2)-15=2(4)-48-15=8-48-15=-55$$ $y\ne -47$

3. For $(11,-37)$: $x=11$ $$y=2(11{)}^2-24(11)-15=2(121)-264-15=242-264-15=-37$$ $y=-37$

4. For $(2,-15)$: $x=2$ $$y=2(2{)}^2-24(2)-15=2(4)-48-15=8-48-15=-55$$ $y\ne -15$

The only coordinate pair that is a point on the parabola is $(11,-37)$.

Answer 2

Please make it shorter

Answer 3

To check which coordinate pair lies on the parabola $y=2x^2-24x-15$:

1. For $(-11,7)$: $$y=2(-11{)}^2-24(-11)-15=491(\text{not }7)$$

2. For $(2,-47)$: $$y=2(2{)}^2-24(2)-15=-55(\text{not }-47)$$

3. For $(11,-37)$: $$y=2(11{)}^2-24(11)-15=-37(\text{is }-37)$$

4. For $(2,-15)$: $$y=2(2{)}^2-24(2)-15=-55(\text{not }-15)$$

The pair that lies on the parabola is $(11,-37)$.

Answer 4

shorter please

Answer 5

To verify which point lies on the parabola $y=2x^2-24x-15$:

1. $(-11,7)$: $y=491$ (not $7$)
2. $(2,-47)$: $y=-55$ (not $-47$)
3. $(11,-37)$: $y=-37$ (matches)
4. $(2,-15)$: $y=-55$ (not $-15$)

Point on the parabola: $(11,-37)$.