This graph is not a minus graph so it just keeps going on and on to infinite.
I’ve attached a pic of the graph
Step-by-step explanation:
just think - what does it mean to translate (shift) a graph upward by 5 units ?
does the graph change in its content ? no. all the functional result value (= y values or coordinates) are still calculated as before, BUT before marking them on the chart the y values are moved up by 5 units. that means they are increased by 5 (that is the only way to move something "up" on a coordinate grid).
so, in other words, f(x) is nothing else but h(x), but it increases the results of h(x) consistently by 5.
h(x) = 2x² + 4
f(x) = h(x) + 5 = 2x² + 4 + 5 = 2x² + 9
Equation of a line is given by y - y1 = m(x - x1) where m is the slope and (x1, y1) is any point on the line.
y - (-2) = 4(x - 3)
y + 2 = 4x - 12
y = 4x - 12 - 2
y = 4x - 14
Answer:
![5565](https://tex.z-dn.net/?f=5565)
Step-by-step explanation:
![1+2+3+4...+113+114=\frac{114*115}{2} =6555](https://tex.z-dn.net/?f=1%2B2%2B3%2B4...%2B113%2B114%3D%5Cfrac%7B114%2A115%7D%7B2%7D%20%3D6555)
![1+2+3+4 ... +43+44=\frac{44*45}{2} =990](https://tex.z-dn.net/?f=1%2B2%2B3%2B4%20...%20%2B43%2B44%3D%5Cfrac%7B44%2A45%7D%7B2%7D%20%3D990)
Thus,
![6555-990=5565](https://tex.z-dn.net/?f=6555-990%3D5565)
Answer:61
Step-by-step explanation:
Z+Z-11=Z+50
2Z-11=Z+50
Collect like terms
2Z-Z=11+50
Z=61