<span>0 is a natural number, which is part of the rational numbers.</span>
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: -6p - 78
Step-by-step explanation:
-5 (3p + 3) + 9(-7 + p)
-15p -15 - 63 + 9p
-6p-78
Alternate angles - happy to help!
Answer:(6,-2)
Step-by-step explanation:
M is the midpoint of AB then ,
M = 
, 
, 
, 
so, B= (6,-2)
