Question

Which of the following coordinate pairs is a point on the parabola 3x2−5x+2=0 (1 point) Responses (−1,4) open paren negative 1 comma 4 close paren (2,4) open paren 2 comma 4 close paren (1,2) open paren 1 comma 2 close paren (0,1)

Answer 1

Pick one

Answer 2

To determine which of the coordinate pairs is a point on the parabola defined by the equation \(3x^2 - 5x + 2 = 0\), we will check each point by plugging the x-value into the equation and seeing if it yields the corresponding y-value.

1. **For (-1, 4)**:
\[
y = 3(-1)^2 - 5(-1) + 2 = 3(1) + 5 + 2 = 3 + 5 + 2 = 10 \qquad (\text{not } 4)
\]

2. **For (2, 4)**:
\[
y = 3(2)^2 - 5(2) + 2 = 3(4) - 10 + 2 = 12 - 10 + 2 = 4 \qquad (\text{yes, is } 4)
\]

3. **For (1, 2)**:
\[
y = 3(1)^2 - 5(1) + 2 = 3(1) - 5 + 2 = 3 - 5 + 2 = 0 \qquad (\text{not } 2)
\]

4. **For (0, 1)**:
\[
y = 3(0)^2 - 5(0) + 2 = 0 + 0 + 2 = 2 \qquad (\text{not } 1)
\]

The only coordinate pair that lies on the parabola \(3x^2 - 5x + 2 = 0\) is **(2, 4)**.

Answer 3

The coordinate pair that is a point on the parabola \(3x^2 - 5x + 2 = 0\) is **(2, 4)**.