Which of the following is the equation of the quadratic function below?

It's B.

Step-by-step explanation:

The x intercepts are 2 and 6 so in factor form it is:

y = (x - 2)(x - 6)

y = x^2 - 8x + 12.

Also, to confirm, the y-intercept is at y = 12 which is verified by replacing the x by 0 and working out y:

y = 0^2 - 8(0) + 12

= 12.

B: y=x^2-8x+12

Step-by-step explanation:

For a quadratic function y=ax^2+bx+c,

-b/2a = x-intercept of the vertex

In this question, x-intercept of the vertex=4

-b/2=4 (as in all choices, a=1)

b=-8

or you can simply look at the y-intercept, which is 12 and it equals to the value of c

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

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