Answer:
y = - 2(x + 4)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 4, 6 ) , thus
y = a(x - (- 4) )² + 6 , that is
y = a(x + 4)² + 6
To find a substitute (- 2, - 2) into the equation
- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )
- 8 = a(2)² = 4a ( divide both sides by 4 )
- 2 = a , thus
y = - 2(x + 4)² + 6 ← equation in vertex form
Answer:
= 4a + 3c + 13
Step-by-step explanation:
(9+4a)+(4+3c)
= 9 + 4a + 4 + 3c
= 4a + 3c + 13
5 rational number between -47 and 12 are {-46, -45, -44, -43, -42}
<h3>
How to find the rational numbers?</h3>
Remember that any integer is also a rational number.
So, if we want to find 5 rational numbers between -47 and 12, we can just find 5 integers between these two numbers.
To do that, we can just add 1 to the lowest bound, we will et:
-47 + 1 = -46
-45 + 1 = -45
-44 + 1 = -44
-43 + 1= -43
-43 + 1 = -42
So 5 rational number between -47 and 12 are {-46, -45, -44, -43, -42}
If you want to learn more about rational numbers:
brainly.com/question/12088221
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Answer: C and D
Step-by-step explanation:I just did it my bad for the late response.