Pretest

Question 1 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which is the graph of f of x is equal to negative open paren x plus 3 close paren times open paren x plus 1 close paren ?

Answer

Image with description A coordinate plane with a parabola opening upward. The x-axis is labeled from negative 6 to 6 in increments of 1 and the y-axis is labeled from negative 6 to 6 in increments of 2. The parabola has its vertex near negative 2 comma 0, with the curve extending upward to the left with an arrow toward approximately negative 5 comma 6 and upward to the right with an arrow toward approximately 0 comma 6.

Image with description A coordinate plane with a parabola opening downward. The x-axis is labeled from negative 6 to 6 in increments of 1 and the y-axis is labeled from negative 6 to 6 in increments of 2. The parabola has its vertex near negative 2 comma 1, with the curve extending downward to the left with an arrow toward approximately negative 5 comma negative 6 and downward to the right with an arrow toward approximately 0 comma negative 6.

Image with description A coordinate plane with a parabola opening upward. The x-axis is labeled from negative 6 to 6 in increments of 1 and the y-axis is labeled from negative 6 to 6 in increments of 2. The parabola has its vertex near 2 comma 1, with the curve extending upward to the left with an arrow toward approximately 0 comma 5 and upward to the right with an arrow toward approximately 4 comma 5.

Image with description A coordinate plane with a parabola opening downward. The x-axis is labeled from negative 6 to 6 in increments of 1 and the y-axis is labeled from negative 4 to 6 in increments of 2. The parabola has its vertex near 2 comma 1, with the curve extending downward to the left with an arrow toward approximately 0 comma negative 4 and downward to the right with an arrow toward approximately 4 comma negative 4.

Explanation

The factors show that the x-intercepts are x = −3 and x = −1, so the axis of symmetry is halfway between them at x = −2. Substituting x = −2 gives f(−2) = −(1)(−1) = 1, so the vertex is (−2, 1). The negative sign in front makes the parabola open downward, matching choice B.

AI-written and checked against the verified answer.

More from this Course

Pretest

Pretest

Pretest