Can someone please answer this, ill give you brainliest Would be very appreciated.
2 answers:
For the function: (x-4)(x+2)
- y intercept: (0, -8)
- x intercept: (-2, 0) and (4, 0)
- vertex: (1, -9)
Point these coordinates and draw a curve on the graph.
Answer:
See below ~
Step-by-step explanation:
Information needed to sketch the graph's function :
- x-intercepts : (4, 0) and (-2, 0)
- Vertex : (1, -9)
- y-intercept : (0, -8)
<u>Graph</u> :
By plotting these points on a graph, and connecting the points by a curve, we obtain the resultant graph of the function :
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Remark
If there are 5 distinct zeros that means either that the x axis is crossed the x axis 5 different places or touched the x axis in 1 place out the 5. Touching in one place means that an even number of roots are the same.
So let's go through all of them to get an answer of 5.
A has 4 x intercepts. It is not the right answer. We need 5.
B has 4 x intercepts. It is not the right answer. We need 5.
C has 6 x intercepts. Not the one we want.
D has 5 x distinct zeros. The wording is a bit tricky. It does not matter than one of them just touches the x axis. There could be an even number of distinct zeros there, but it only counts as one root.
An example of such a graph is f(x)=
Answer D <<<<<
If there are 5 distinct zeros that means either that the x axis is crossed the x axis 5 different places or touched the x axis in 1 place out the 5. Touching in one place means that an even number of roots are the same.
So let's go through all of them to get an answer of 5.
A has 4 x intercepts. It is not the right answer. We need 5.
B has 4 x intercepts. It is not the right answer. We need 5.
C has 6 x intercepts. Not the one we want.
D has 5 x distinct zeros. The wording is a bit tricky. It does not matter than one of them just touches the x axis. There could be an even number of distinct zeros there, but it only counts as one root.
An example of such a graph is f(x)=
Answer D <<<<<