Question

Chapter 5, Section 5.3, ConcepTest Question 008 How might the graph of y = (x + 2)2 + 5 be obtained from the graph of y = x2? O A horizontal shift to the left 2 units and a vertical shift up 5 units. O A horizontal shift to the right 2 units and a vertical shift up 5 units. O A horizontal shift to the left 2 units and a vertical shift down 5 units. O A horizontal shift to the right 2 units and a vertical shift down 5 units. O None of these.

Answer 1

initial graph function

$y=x^2$

graph equation after changes

y = (x + 2)2 + 5

to get this graph we have to do some changes in initial graph

in the second equation there is and addition of 2 with x

so we will shift the graph horizontally 2 units to left. horizontally because x axis is on horizon line.

there is and addition of 5 in equation

so we will shift the graph vertically 5 units up. vertically because y axis is on vertical line.

now both graphs-

$1586883837050_blob.png$

$1586883800186_blob.png$

so answer is first option.