Algebra-2

For the function in intercept form f(x) = a(x − p)(x − q), the x-intercepts are found at p and q.

Here, the intercepts are: x = −2 and x = 1. Thus, statement C is true.

To verify the other options:

The vertex can be calculated, the x-intercepts are x = -2 and x = 1. The axis of symmetry is:

Now, substitute x = = -0.5 into the original equation to find the y-coordinate of the vertex:

f(x) = 3(-0.5 + 2)(-0.5 - 1) = 3(1.5)(-1.5) = -6.75

Thus, the vertex is (-0.5, -6.75)

Since a=3 (a positive number), the function opens upwards, not downwards.

To find the y-intercept, calculate f(0):

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