Part A:

The first step of completing the square is writing the expression

as

which expands to

.
We have the first two terms exactly the same with the function we start with:

and

but we need to add/subtract from the last term, 49, to obtain 41.
So the second step is to subtract -8 from the expression

The function in completing the square form is

Part B:
The vertex is obtained by equating the expression in the bracket from part A to zero


It means the curve has a turning point at x = -7
This vertex is a minimum since the function will make a U-shape.
A quadratic function

can either make U-shape or ∩-shape depends on the value of the constant

that goes with

. When

is (+), the curve is U-shape. When

(-), the curve is ∩-shape
Part C:
The symmetry line of the curve will pass through the vertex, hence the symmetry line is

This function is shown in the diagram below
If solving for y:
→ 2x + y = 8
→ Take away 2x from both sides
→ y = 8 - 2x
If solving for x:
→ 2x + y = 8
→ Take away y from both sides
→ 2x = 8 - y
→ Divide both sides by 2
→ x =
The scale factor = the final divided by the origin:
I our case the scale factor = 17/68 = 1/4 , means that the reduction of the origine was reduced by 4 times
Hope this is what’s you where looking for