Unit 1 Lesson 2 - Exit Ticket - Geometry
1 answer:
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Answer:
the equation of the axis of symmetry is
Step-by-step explanation:
Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: , being that constant the very x-coordinate of the vertex.
So we use for that the fact that the x position of the vertex of a parabola of the general form: , is given by:
which in our case becomes:
Then, the equation of the axis of symmetry for this parabola is:
F(x) = -52x + 4
g(x) = -12x - 4
To find the solution of the system of equation, we have to just equate the equation to each other.
f(x) = g(x)
-52x + 4 = -12x - 4
-52x + 12x = - 4 - 4
-40x = -8
x =
x = 0.2
g(x) = -12x - 4
To find the solution of the system of equation, we have to just equate the equation to each other.
f(x) = g(x)
-52x + 4 = -12x - 4
-52x + 12x = - 4 - 4
-40x = -8
x =
x = 0.2