Answer:

Step-by-step explanation:

This is written in the standard form of a quadratic function:

where:
- ax² → quadratic term
- bx → linear term
- c → constant
You need to convert this to vertex form:

where:
To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

Using your original equation, identify the a, b, and c terms:

Insert the known values into the equation:

Simplify. Two negatives make a positive:

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

Simplify using PEMDAS:

The value of y is -6 (3,-6). Insert these values into the vertex form:

Insert the value of a and simplify:

:Done
Its A 0.125 because 0.125×8=1.000 or 1 full
Answer:
15.5 inches
Step-by-step explanation:
- Length of rectangle = 22 inches
- Perimeter = 75 inches
To calculate : Width of the rectangle.
★ Perimeter of rectangle = 2( l + w )
→ 75 = 2(22 + w)
→ 75 = 44 + 2w
→ 75 – 44 = 2w
→ 31 = 2w
→ 31 ÷ 2 = w
→ <u>1</u><u>5</u><u>.</u><u>5</u><u> </u><u>inches</u><u> </u><u>=</u><u> </u><u>Width</u>
Therefore, width of the rectangle is 15.5 inches.