Question

Please help im so close to graduating

The given graphs show functions which have been transformed from the quadratic parent, f(x) = x2. Determine which transformations were applied to the quadratic parent function to result in each graph.

Answer 1

heres the answer hope it helps

Answer 2

1. Horizontal shift left 3, Vertical shift down 3.

2. Reflection across the x-axis, Vertical stretch of 3.

3. Horizontal shift right 3, Vertical shift down 3.

Explanation:

The parent quadratic function is

`f(x)=x^2`

Table of values:

x y

-2 4

-1 1

0 0

1 1

2 4

The graph of parent quadratic function is a U-shaped curve with vertex at origin.

The graph of parent function shifted 3 units left and 3 units down to get the graph 1.

The graph of parent function reflected across the x-axis and vertically stretched by factor 3 to get the graph 2.

The graph of parent function shifted 3 units right and 3 units down to get the graph 3.