A quadratic function has one root at 5 and has a vertex point at (7, 2). What is the value of “a”?

where a-term determines the shape of graph.

h-term determines the change of graph for x-axis.

k-term determines the change of graph for y-axis.

Vertex of the graph is at (h,k).

We need to find the value of a-term. We have the given root which we can substitute in the equation.

Also the roots are on x-axis, meaning that the y-value for roots must be 0.

Therefore the value of a is - 1/2. Rewrite the equation as we get the answer.

what do u need to know

step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d