Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function.
1 answer:
Answer:
b. x = 0 ; (0,4)
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph .
The equation is:
y=2*x^2+4
We can appreciate that the axis of symmetry corresponds to the y-axis, which is equal to the line x = 0
The vertex corresponds to the minimum point of the function.
V = (0,4)
Correct option: b.
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<h3>Answer: (-1, 11)</h3>
This means x = -1 and y = 11 pair up together.
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Work Shown:
Set the two functions equal to one another. Solve for x.
f(x) = g(x)
-4x+7 = 2x+13
7 = 2x+13+4x ... adding 4x to both sides
7 = 6x+13
7-13 = 6x .... subtract 13 from both sides
-6 = 6x
6x = -6
x = -6/6 ... divide both sides by 6
x = -1
Use this x value in either function
f(x) = -4x+7
f(-1) = -4(-1)+7
f(-1) = 11
or
g(x) = 2x+13
g(-1) = 2(-1)+13
g(-1) = 11
Whichever function you pick, the input x = -1 leads to the output y = 11.
The point of intersection is (x,y) = (-1, 11)
Visual confirmation is shown below.