Answer:
It has amplitude of 
.
It is a horizontal shift of the parent function 
units left.
Step-by-step explanation:
We have the function, 
.
It is clear that the parent function is 
.
So, we see that,
The amplitude of the function f(x) is , which gives, 
.
Also, g(x) is translated units to the left, which gives, 
.
Further, the function is translated 1 unit downward, resulting in .
So, the correct options are,
It has amplitude of .
It is a horizontal shift of the parent function units left.
Answer:
Step-by-step explanation:
Volume of the shipping container = Lengt * Breadth * Height
Given
Length = 4x² + 3x
Breadth = x² – 8
Height = 6x +15
Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)
( 4x² + 3x)( x² - 8) = 4x⁴-32x²+3x³-24x
( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x
(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x
Collect like terms
( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x
Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x
Expand
f(x)=-1x^2-8x+33
x coordinate of vertex is -b/2a in the form ax^2+bx+c=y
a=-1
b=-8
-(-8)/2(-1)=8/-2=-4
plug back in to get y value
y=-(-4^2)-8(-4)+33
y=-16+32+33
y=49
y value is 49
Answer:
Abram payed $12.50 for the cab ride in all.
Answer:
the second option
Step-by-step explanation:
The second option because there is no pattern.
