F(x) = -4x2 + 12x – 9 What is the value of the discriminant of f?
How many x-intercepts does the graph of f have?

The graph has 1 x-intercept

Step-by-step explanation:

Given

Required

- Discriminant of f

- Number of x intercepts

Let D represent the discriminant;

D is calculated as thus

Where a, b and c are derived from the following general format;

By comparing with

We have

Solving further;

So, D can now be calculated;

becomes

Hence, the discriminant of f is 0

From the value of the discriminant, we can determine the number of x intercepts of the graph;

When D = 0, then; there exists only one x-intercept and it as calculated as thus

Recall that

So, becomes

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

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step-by-step explanation: