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)
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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).Quote:
Originally Posted by Candy101
2. The y-intercept is at x = 0; then
3. The x-intercepts are at y = 0. Thus you have to solve for x:
ok so do i
add 4
making it |x+7|+24???
Helloo, Candy101!
Quote:
How would i sketch something like this?
. and indicate its vertex and all intercepts
We are expected to know the graph of:Code:|
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The graph of: ..is the previous graph moved 7 units to the left.
Code:* | *
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---------------*-----------+------
-7 |
The graph of: ..is the previous graph only "steeper".
Code:|
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------------*-----------+------
-7 |
The graph of:. is the previous graph reflected over the x-axis.
Code:|
-7 |
------------*-----------+----
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The graph of:.is the previous graph raised 20 units.
Code:|
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-------*---------*--+--------
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You should be able to answer the questions now.