Answer:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>
 
        
             
        
        
        
Answer:
V = 1538.6 cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2h  where r is the radius and h is the height
V = pi (7)^2 10
V = 3.14 (49)10
V = 1538.6 cm^3
 
        
                    
             
        
        
        
<h3>
<u>Answer:</u></h3>

<h3>
<u>Step-by-step explanation:</u></h3>
Two points are given to us and we need to find the slope of the line . The slope of the line passing through points  is given by ,
 is given by , 
 
 
Here , the points are ,

<h3>
<u>★</u><u> </u><u>Hence </u><u>the</u><u> </u><u>slope</u><u> </u><u>of</u><u> the</u><u> </u><u>line</u><u> </u><u>join</u><u>ing</u><u> </u><u>the </u><u>two</u><u> </u><u>points</u><u> </u><u>is</u><u> </u><u>-</u><u>2</u><u>5</u><u>/</u><u>2</u><u>1</u><u> </u><u>.</u></h3>