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The vertex of a parabola is in the first quadrant of a coordinate grid. A line with a negative slope passes through the origin. If the parabola and line intersect at the origin, which statement must be true?

a. The parabola opens downward.
b. The parabola opens upward.
c. The slope of the line is equal to –1.
d. The slope of the line is not equal to –1.

Respuesta :

pootpoot

Answer:

A) The parabola opens downward.

Step-by-step explanation:

Right on Edge2020

MrRoyal

The vertex of a parabola is the minimum or the maximum point on the parabola

The true statement is (c) the slope of the line is equal to –1.

The given parameters are:

  • Vertex is in the first quadrant
  • A line with a negative slope that passes through the origin

The equation of a line with a negative slope that passes through the origin is: y = -x

This means that:

The slope of the line is -1

Hence, the true statement is (c)

Read more about parabolas at:

https://brainly.com/question/21685473