The function f(x) = 7 – 4x + x2 written in vertex form is f(x) = (x – 2)2 + 3. What is the axis of symmetry for the function?
2 answers:
Hello,
Answer x=2 (x=h in vertex form y=a(x-h)²+k )
Answer:
x = 2
Step-by-step explanation:
The vertex form of the parabola is given by
Comparing this equation with vertex form of a parabola , where (h,k) is the vertex
h = 2
k = 3
Hence, vertex is (2,3)
Now, axis of symmetry of a parabola passes through the vertex and divide the parabola in two equal halves.
Hence, axis of symmetry of the parabola is given by
x = h
x = 2
Third option is correct.
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