Answer:
The coordinates are x=2 and y=16, or (2, 16)
Step-by-step explanation: The definition of the vertex of a parabola(the shown graph) is the highest or lowest point on the graph, depending which way the graph opens. When a graph opens upwards, towards positive y, the vertex is the lowest point. On the contrary, when the graph opens downwards, like this graph, the vertex is the highest point. On the graph, you can see clearly that the highest point on the graph has an x-value of 2 and a y-value of 16, making the vertex (2, 16)
Okay, so the equation for the y-intercept is y=mx+b, this will be your base for graphing anything.
For y = x + 3 it's basically y = 1x + 3. Use b as the y-intercept, or 3, and plot it as (x,y), (0,3). Then use m as the slope, or 1. 1 means positive one so the point goes (0,3), (1, 4), (2, 5).
For y = -3x - 1 it's the same thing but different numbers. Use b, the y-intercept, and plot it. -1 is b, so plot (0,-1). Then use the slope to go up or down the direction you need to go, or m. m is -3, so for every +1 in x, the y will decrease by 3. (0,-1), (0,-4), (0,-7).
I hope this helped in some way or increased your understanding!
Multiply the first equation by 5
20x -15y = -200
multiply the second equation by 3
27x +15y =12
add the 2 new equations
20x-15y +27x +15y = -200 +12
47x = -188 (devide each side by 47)
x = -4
substitute x with -4 in any equation you like (I'll choose the second)
9*(-4) +5y =4
-36+5y=4 (add 36 to each side)
5y= 40
y= 8
Answer:
Below
Step-by-step explanation:
What transformations are applied to the graph? Well...
- If you were to look at this function's parent graph, it would extend from quadrant 1 to quadrant 2. But as we can see, this graph extends from quadrant 4 to quadrant 3.... this tells us that there has been a reflection in the x-axis. An easier way to tell is that the graph looks like it has been flipped upside down
- This graph has shifted both horizontally and vertically. We know this because the vertex which normally sits at (0,0) is now at (-1,2).
So the transformations applied are :
- A reflection in the x-axis
- a horizontal translation 1 unit to the left
- a vertical translation 2 units up
Create an equation for this graph
Here is the parent equation for this type of function :
f(x) = | x |
Apply the transformations :
f(x) = - | x + 1 | + 2
* remember that when a graph is translated horizontally that it is placed inside the brackets, and vertical translations are outside of the brackets
* if it is shifted to the right the sign is negative, left is positive
Hope this helps! Best of luck <3
Answer:
Step-by-step explanation: the awnser is 26.5 hope this helps :)