Terms written in the form a/b are fractions. For example 2/3. If you see 3 1/2 it should be 3 and 1/2

The answer is 113/90.

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Answer:

  None of the above

Step-by-step explanation:

See the attachment for x-intercepts and vertex coordinates. These coordinates do not match any of the answer choices.

___

The closest choice is the last one. It has the direction of opening and the intercepts correct, but the vertex coordinates wrong.

We can write the graph of f(x) = (x - 1)(x + 4) as, "On a coordinate plane, a parabola opens up. It goes through (-4, 0), has a vertex at (-1.5, -6.25), and goes through (1, 0)."

What is a parabola?

A parabola is a plane curve created by a moving point whose distance from a stationary point equals its distance from a fixed-line.

How do we solve the given question?

In the question, we are given an equation of f(x) = (x - 1)(x + 4), and are asked to identify its graph.

The given equation is of a parabola in the intercept form f(x) = a(x - p)(x - q), which opens up if a > 0 and opens down if a < 0, and which has a vertex at the point   , and passes through the point (p, 0) and (q, 0).

Comparing the equation f(x) = (x - 1)(x + 4) to f(x) = a(x - p)(x - q), we get

a = 1, p = 1, q = -4.

Since, a > 0 (a = 1), we can say that it opens up.

Now, we calculate (p + q)/2 = (1 - 4)/2 = -1.5

f((p + q)/2) = f(1.5) = (-1.5 - 1)(-1.5 + 4) = (-2.5)(2.5) = -6.25.

Thus, the vertex is at point (-1.5, -6.25).

Also, the equation passes through the points (-4, 0) and (1, 0).

∴ We can write the graph of f(x) = (x - 1)(x + 4) as, "On a coordinate plane, a parabola opens up. It goes through (-4, 0), has a vertex at (-1.5, -6.25), and goes through (1, 0)."

Learn more about a Parabola at

brainly.com/question/17987697

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Answer: Fills up something like how inflating a ballon fills it with air

Step-by-step explanation:

Hope it helped