Answer:
A) y = (x + 3)² + 4
B) y = (x - 3)² + 2
C) y = (x - 1)² - 5
Step-by-step explanation:
2 units UP means that the vertex will be shifted from (-3 , 2) to (-3, (2 + 2) or (-3, 4)
As the y = (x + 3)² will still be zero at x = -3, we just need to change the "+ 2" to
"+ 4" to shift the curve upward by 2
y = (x + 3)² + 4
When we want to shift the curve to the right, we want the vertex to move from (-3, 2) to (3, 2)
This means that the term in parenthesis must be zero with our desired x value
(3 + C)² = 0
3 + C = 0
C = -3
y = (x - 3)² + 2
4 units right and 7 units down mean that the vertex is desired at (1, -5)
(1 + C)² = 0
C = -1
y = (x - 1)² - 5
It is a function. It passes the vertical line test, meaning for each x there's at most one y.
When x=2 we see y=-3 as (2,-3) is a point on the graph
Answer:
slope = 
Step-by-step explanation:
Slope-intercept form is the way in which an equation is written to easily identify the line's slope and y-intercept. It is represented by the equation y = mx + b, in which m represents the slope.
By looking at the equation, we can see that it takes the y = mx + b format - y is isolated - therefore it is in slope-intercept form. Remember that the number in place of the m would represent the slope - and in this case, that number is .
factoring:-
f = 4x^2 + 19x - 5 = (4x - 1)(x + 5)
g = 4x^2 - x = x(4x - 1)
(4x - 1) is common, so:-
f/g (x) = (x + 5) / x which is the second choice.
Answer: 14085 m^3.
Step-by-step explanation: To find the volume of a right rectangular prism, you need to multiply the length, width, and height. The equation is below:
l x w x h = V where l is the length, w is the width, h is the height, and V is the volume of the right rectangular prism.
The length of this recycling bin is 9 meters, the width is 5 meters, and the height is 313 meters. Now that we know the length, width, and height, we can substitute the variables with the information we've gathered.
9 x 5 x 313 = 14085.
Therefore, 14085 m^3 is your answer.
Have a great day! :)
