Quadratic Equations Online Practice

Question

Complete this assessment to review what you’ve learned. It will not count toward your grade.
15 of 2015 of 20 Items

Question
Which of the following coordinate pairs is a point on the parabola y=2x2−24x−15
?(1 point)
Responses

(2,−15)
left parenthesis 2 comma negative 15 right parenthesis

(−11,7)
left parenthesis negative 11 comma negative 7 right parenthesis

(2,−47)
left parenthesis 2 comma negative 47 right parenthesis

(11,−37)
left parenthesis 11 comma negative 37 right parenthesis
Remaining Attempts : 3
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Answer 1

To determine which coordinate pairs are points on the parabola given by the equation \( y = 2x^2 - 24x - 15 \), we can substitute the x-values from each coordinate pair into the equation and see if the resulting y-value matches the y-value given in the pair.

1. For the point \( (2, -15) \): \[ y = 2(2^2) - 24(2) - 15 = 2(4) - 48 - 15 = 8 - 48 - 15 = -55 \] (Does not match -15)

2. For the point \( (-11, 7) \): \[ y = 2(-11^2) - 24(-11) - 15 = 2(121) + 264 - 15 = 242 + 264 - 15 = 491 \] (Does not match 7)

3. For the point \( (2, -47) \): \[ y = 2(2^2) - 24(2) - 15 = 2(4) - 48 - 15 = 8 - 48 - 15 = -55 \] (Does not match -47)

4. For the point \( (11, -37) \): \[ y = 2(11^2) - 24(11) - 15 = 2(121) - 264 - 15 = 242 - 264 - 15 = -37 \] (Matches -37)

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