Answer:
Volume: 3x2x4=24 so the volume is 24 Meter3
Surface area:
52 Square meter
Refer the attached figure for the graphic representation of the given quadratic equation.
<u>Step-by-step explanation:</u>
Given expression:

To find:
The graphic representation of the given quadratic function
For solution, plot the graph to the given quadratic equation.
The standard form of the equation is

When comparing with given quadratic equation,
a = 1, b = - 8, c = 24
Axis of symmetry is 
By applying the values, the axis of symmetry of given equation is

The vertex form of quadratic equation is 
Where, (h,k) are the vertex.
Convert the quadratic equation into vertex form.
By completing the square,



On comparison,
(h , k) = (4 , 8)
Now, plot the equation with vertex (4,8) [refer attached figure].
Answer:
Step-by-step explanation:
<u>Given equation:</u>
- x² + y² + 8x - 4y - 7 = 0
<u>Convert this to standard form by completing the square:</u>
- (x - h)² + (y - k)² = r², where (h, k) - center, r - radius
- x² + 2*4x + 4² + y² - 2*2y + 2² - 16 - 4 - 7 = 0
- (x + 4)² + (y - 2)² - 27 = 0
- (x + 4)² + (y - 2)² = 27
- (x + 4)² + (y - 2)² = (√27)²
The center is (- 4, 2) and the radius is √27
Answer:

Step-by-step explanation:
