How many x-intercepts will the graph of y = 3x2 + 6x + 3 have? (Use the discriminant to
find out!)
A. 3 x-intercepts
B. 1 x-intercept
C. 2 x-intercepts
D. no x-intercepts

B. 1 x-intercept

Step-by-step explanation:

We can use the discriminant expression, b²- 4ac, to answer this question.

In the equation y = 3x² + 6x + 3 we know that,

3 = a-value

6 = b-value

3 = c-value

Using this information, we can plug these numbers into the discriminant expression to find the discriminant.

6² - 4(3)(3) = 0

Because the value is equal to 0, we know there is 1 real solution and therefore there is 1 x-intercept.

answer for #1 is c

answer for #2 is d

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