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 =

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: