Respuesta :
Answer:
x = 2 and (2, 4 )
Step-by-step explanation:
The equation of a parabola in standard form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
f(x) = 3(x - 2)² + 4 ← is in vertex form
with vertex = (2, 4 )
This is a vertical parabola, opening upwards and is symmetrical about the vertex.
The axis of symmetry is a vertical line with equation x = 2
According to the equation of the parabola, we have that:
- The axis of symmetry is x = 2.
- The vertex is (2, 4).
What is the equation of a parabola given it’s vertex?
The equation of a quadratic function, of vertex (h,k), is given by:
[tex]y = a(x - h)^2 + k[/tex]
In which a is the leading coefficient.
The axis of symmetry is x = h.
In this problem, the equation is:
[tex]f(x) = 3(x - 2)^2 + 4[/tex]
Hence h = 2, k = 4, thus:
- The axis of symmetry is x = 2.
- The vertex is (2, 4).
More can be learned about the equation of a parabola at https://brainly.com/question/24737967
