Which equation when graphed has a maximum value at x = −2? A) y = −x2 − 20x − 16, B) y = −x2 − 16x − 12, C) y = −4x2 − 20x − 16, D) y = −4x2 − 16x − 12
Accepted Solution
A:
Answer:Option D. [tex]y=-4x^{2} -16x-12[/tex]Step-by-step explanation:using a graphing toolGraph and determine the vertex in each case we know thatIf the equation has a maximum value at x=-2, then the x-coordinate of the vertex must be equal to -2 and the parabola open downwardcase A) [tex]y=-x^{2} -20x-16[/tex]The vertex is the point [tex](-10,84)[/tex]case B) [tex]y=-x^{2} -16x-12[/tex]The vertex is the point [tex](-8,52)[/tex]case C) [tex]y=-4x^{2} -20x-16[/tex]The vertex is the point [tex](-2.5,9)[/tex]case D) [tex]y=-4x^{2} -16x-12[/tex]The vertex is the point [tex](-2,4)[/tex] -------> is the answersee the attached figure