Between which two ordered pairs does the graph of f(x) = one-halfx2 + x – 9 cross the negative x-axis?

quadratic formula: x = startfraction negative b plus or minus startroot b squared minus 4 a c endroot over 2 a endfraction

(–6, 0) and (–5, 0)
(–4, 0) and (–3, 0)
(–3, 0) and (–2, 0)
(–2, 0) and (–1, 0)

None of Option are correct

Step-by-step explanation:

The Given function is f(x) = y =

Here, f(x) is quadratic function and it asked that when function cross the Negative X-axis.

If any function cross the X-axis then, Point of intersection will have y component as zero.

Therefore, f(x) = y =

y =

Solving quadratric equation,

Comparing with

We get a=, b=1, c=(-9)

Since,

Thus, None of option are correct.

Verification.....

A) (–6, 0) and (–5, 0) give quadratic function : y =

B) (–4, 0) and (–3, 0) give quadratic function : y =

C) (–3, 0) and (–2, 0) give quadraric function : y =

D) (–2, 0) and (–1, 0) give quadratic function : y =