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A parabola has x intercepts of (-7,2) and (0,2). What is the axis of symmetry?

User Kantesh
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1 Answer

4 votes
We’ll use the given information to create a quadratic polynomial so we can find the axis of symmetry:

(x+7)(x)

FOIL:

(x•x)+(7•x)

x^2+7x is the quadratic trinomial in standard form.

Now, recall the axis of symmetry formula:

x=-b/2a

Now that the quadratic is in standard form, let’s define a and b:

a=1

b=7

Input a and b into the formula:

x=-(7)/2

x=-3.5

Therefore, the axis of symmetry is the line x=-3.5
User Monty Khanna
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