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zheka24 [161]
3 years ago
9

What is the rationalizing factor of a+√b?

Mathematics
1 answer:
Alina [70]3 years ago
3 0
I hope this helps you




a- square root of b
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2(2) + 3(3) =

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Sketch the graph of y=x^2-4x+3
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Answer:

see attached graph

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Given equation:  y=x^2-4x+3

Standard form of a quadratic equation: y=ax^2+bx+c

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If a > 0 then the parabola opens upwards.

If a < 0 then the parabola opens downwards.

Therefore, the y-intercept of the graph is (0, 3)

To find the x-intercepts, factor the equation:

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\implies y=x^2-x-3x+3

\implies y=x(x-1)-3(x-1)

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Therefore, the x-intercepts of the graph are (3, 0) and (1, 0)

To determine the vertex, differentiate the equation:

\implies \dfrac{dy}{dx}=2x-4

Set to zero and solve for x:

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Substitute x=2 into the original equation and solve for y:

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