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USPshnik [31]
3 years ago
9

Consider the function f(x)=x^2+2x-8

Mathematics
1 answer:
sattari [20]3 years ago
8 0

Answer:

The answer to your question is below

Step-by-step explanation:

Data

function   f(x) = x² + 2x - 8

-See the graph below

1) x-intercepts

We observe in the graph that there are no x-intercepts.

2) y-intercepts

We observe in the graph that the y-intercept is (0, 8). Point A

3) axis of symmetry

The axis of symmetry is the line that divides the parabola into two equal parts. This line is x = -1 (blue line)

4) The vertex is the lowest point of the parabola, this point is (-1, 7)

Point B in the graph.

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Find a parametrization, using cos(t) and sin(t), of the following curve: The intersection of the plane y= 5 with the sphere
Elenna [48]

Answer:

The  parametrization,  of the given curve is  x = 10 cos(t) \ \ ,z = 10 sin(t)

Step-by-step explanation:

From the question we are given the function

        x^2 + y^2 + z^2 = 125

At  y= 5

       x^2 + 5^2 +z^2 =125

       x^2 + z^2 = 100

       x^2 + z^2 =  10^2

Converting the above  to it polar equation we have  

       x = 10 cos(t) \ \ ,z = 10 sin(t)

     

 

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