how would i sketch something like this?
y= -4 | x+7 | + 20 and indicate its vertex and all intercepts
i am thinking that i should add 4 to both sides making it |x+7|+24??
i don't know how to solve this...(this is so hopeless for me)
how would i sketch something like this?
y= -4 | x+7 | + 20 and indicate its vertex and all intercepts
i am thinking that i should add 4 to both sides making it |x+7|+24??
i don't know how to solve this...(this is so hopeless for me)
One way to sketch it is to first sketch the graph of y=x+7, remembering to reflect the part of the graph that is below the x-axis. Then apply the dilation of -4 (multiply each value by -4, this will reflect the entire graph in the x-axis) After this you can then translate the graph 24 units in the positive direction of the y-axis.
1. The smallest value an absolute value can get is zero. This happens here at x = -7. Then the y-coordinate is 20. This is your vertex V(-7, 20).
2. The y-intercept is at x = 0; then $\displaystyle y = -4 \cdot |7| + 20 = -8$
3. The x-intercepts are at y = 0. Thus you have to solve for x:
$\displaystyle -4 |x+7| + 20 = 0$
Helloo, Candy101!
How would i sketch something like this?
$\displaystyle y \:=\: -4|x+7| + 20$ . and indicate its vertex and all intercepts
We are expected to know the graph of: $\displaystyle y \:=\:|x|$Code:| * | * * | * * | * * | * * | * * | * -------------*-------------- |
The graph of: .$\displaystyle y \:=\:|x+7|$ .is the previous graph moved 7 units to the left.Code:* | * * * * * | * * | * * | * * | * * | ---------------*-----------+------ -7 |
The graph of: .$\displaystyle y \:=\:4|x+7|$ .is the previous graph only "steeper".Code:| * * | * * | * * | * * | * * | * * | ------------*-----------+------ -7 |
The graph of: $\displaystyle y \:=\:-4|x+7|$ . is the previous graph reflected over the x-axis.Code:| -7 | ------------*-----------+---- * * | * * | * * | * * | * * | * * | |
The graph of: $\displaystyle y \:=\:-4|x+7| + 20$ .is the previous graph raised 20 units.Code:| * | * * | * * | * * | * * | -------*---------*--+-------- * * | * *| * * * |* * | * * | * |
You should be able to answer the questions now.