The roots: this is when y=0, so in yours there are 2 roots. Just look at the x value when y=0 and that is your roots.

Y intercept- this is when x=0, so just look at the y value below x=0 and that is the y intercept. Note the answer will probably be in the form (0,_)

Vertex=do you see a pattern? Well the vertest would be the highest or lowest point of the quadratic equation. Your vertex would be (5,-9) because just look at x=4 and x=6, bit of the y values are -8 and when you look at x=3 and x=7 they are also the same because this is a quadratic equation.

Max or min: yours is a minimum because (5,-9) is the lowest point. Every value left and right of this are higher up the graph, so this would be a minimum.

*something that will help you see this all more clearly is if you graphed this or put it into Desmos to see the vertex etc.

7 0

2 years ago

Which sequences are arithmetic? Check all that apply.

spin [16.1K]

Answer:

3) 18, 5.5, –7, –19.5, –32, … sequence is in Arithmetic Progression.

5) 16, 32, 48, 64, 80 sequence is in Arithmetic Progression.

Step-by-step explanation:

If, a, b, c ,k, e ... is a given sequence.

Then the above sequence is in AP if b - a = c - b = k - c = ...

or, each term has same COMMON DIFFERENCE (d).

Here, take each sequence and check for the value of d.

1) –5, 5, –5, 5, –5, …

Here, 5 - (-5) = 10, -5 - 5 = -10

and 10 ≠ -10. So the sequence is NOT in Arithmetic Progression.

2)96, 48, 24, 12, 6

Here, 48 - 96 = -48, 24 - 48 = -24

and -48 ≠ -24. So the sequence is NOT in Arithmetic Progression.

3)18, 5.5, –7, –19.5, –32, …

Here, 5.5 - 18 = -12.5 , -7 - 5.5 = -12.5 ..

and -12.5 is the common difference.

So the sequence is in Arithmetic Progression.

4)–1, –3, –9, –27, –81, …

Here, -3-(-1) = - 2 -9 - (-3) = -6

and -2 ≠ -6. So the sequence is NOT in Arithmetic Progression.

5)16, 32, 48, 64, 80

Here, 32 - 16 = 16 , 48 - 32= 16 ..

and 16 is the common difference.

So the sequence is in Arithmetic Progression.

6 0

3 years ago

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