Provide an appropriate response If the points in the table l

Provide an appropriate response. If the points in the table lie on a parabola, write the equation whose graph is the parabola. y = -3(x + 4)^2 - 5 y = 3x^2 + 24x - 43 y = -3(x + 4)^2 + 5 y = -3x^2 + 24x - 43

Solution

by verification

at x=7,y=-22

a) -22=3(7+4)² -5

= 295 this is not correct

b) -22 = 3*7² +24*7-43

= 272 this is also not correct

c) -22 = -3(7+4)² + 5

= -295 this also not correct

d) -22 = - 3*7² + 24*7 - 43

= -22 yes this is right answer

y = -3x²+24x - 43 is given parabola