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

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value