A sketch of y = ax + bx + c is shown. The maximum point is (-3, 4)
Select the correct answer in each of the following.
a) The value of a is
(-3,4)

A: negative
B: zero
C: positive
b) The value of c is

A: negative
B: zero
C: positive

c) The solutions of y=ax*2+ bx + c = 0 are

A: both negative
B: both positive
C: one negative and one positive

A, A and A

Step-by-step explanation:

Given

y = ax² + bx + c

• If a > 0 then minimum vertex

• If a < 0 then maximum vertex

Here the vertex is a maximum, thus a < 0 , that is negative → A

The value of c is the y- intercept

The graph crosses the y- axis below the y- axis, thus c is negative → A

The solutions to ax² + bx + c = 0 are the values of x on the x- axis where the graph crosses the x- axis.

The graph crosses the x- axis to the left of the y- axis , thus

Both solutions are negative → A

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