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scZoUnD [109]
3 years ago
12

Explain how to get the slope equation for (1,2) and (3,8)

Mathematics
1 answer:
olga2289 [7]3 years ago
5 0

Answer:

8-2/3-1

Step-by-step explanation:

slope equation is y2-y1 over x2-x1 so in that case you would put on top the 8-2 and then for the bottom you would put the 3-1

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Find the max/min value of f(x) = 2x2 + 3x - 5
Lelechka [254]

Answer:

The minimum value is (-\frac{3}{4},-\frac{49}{8}) or  (-0.75,-6.125)

Step-by-step explanation:

we have

f(x)=2x^{2}+3x-5

This is the equation a vertical parabola open upward

The vertex represent a minimum

The general equation in vertex form is

f(x)=a(x-h)^2+k

where

(h,k) is the vertex

Convert the given function in vertex form

f(x)=2x^{2}+3x-5

Factor 2

f(x)=2(x^{2}+\frac{3}{2}x)-5

Complete the square

f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-5-\frac{9}{8}

f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-\frac{49}{8}

Rewrite as perfect squares

f(x)=2(x+\frac{3}{4})^{2}-\frac{49}{8}

The vertex is the point (-\frac{3}{4},-\frac{49}{8})

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Complete the square and graph <br>x+2(y-1)^2=4<br>show all steps​
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Step-by-step explanation:

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A parabola and its focus are shown on the graph. The vertex of the parabola is at (0,0).
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