Sketch the graph of y=2(x-2)2+5 and identify the axis of symmetry.

Question

asked Aug 15, 2020 216k views

2 Answers

Justin Wong · Answer 1 · 2020-08-18T21:05:59+0000

ANSWER

See attachment.

EXPLANATION

The given function is

$y = 2 {(x - 2)}^(2) + 5$

This equation is of the form:

$y = a {(x - h)}^(2) + k$

where (h,k) is the vertex of the parabola and

x = h

is the equation of axis of symmetry.

By comparing, h=2 and k=5, a=2

Hence the vertex is at (2,5).

and the equation of axis of symmetry is

x = 2

Since the value of 'a' is positive, the graph is a minimum graph.

With these information we can sketch the graph easily.

See attachment.