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
Answer:
a
Step-by-step explanation:
Answer:
I can tell you the first one and you can figure it out from there. 70 is 40% persent of what number? Well, we can chop 40% to 20% and chop 70 in half and we get 35. So 35 = 20% So we multiply 35 by five, and get 175. So 70 is 40% of 175.
Step-by-step explanation:
Answer:
<em>y = 8.25x</em>
Step-by-step explanation:
<u>Linear Modeling</u>
Some events can be modeled as linear functions. If a situation comes where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.
The linear function can be expressed in the slope-intercept format:
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
Let's use linear modeling to represent Steven's earnings he makes babysitting. Call y the money he charges by x hours of work.
We know he charges y1=$33 for x1=4 hours, and y2=$57.75 for x2=7 hours. The ordered pairs are (4,33) and ( 7, 57.75)
Computing the equation of the line we have:
Operating:
y = 8.25x
There is a proportional relationship.
