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max2010maxim [7]
3 years ago
7

Quadratic function of Y=x2-2x-3

Mathematics
1 answer:
Svetach [21]3 years ago
6 0
Ok! So, given a quadratic function<span>, </span>y<span> = ax</span>2<span> + bx + c, when "a" is positive, the </span>parabola <span>opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value. Now, let's refer back to our original graph, </span>y<span> = </span><span>x2</span><span>, where "a" is 1.

Hope this helps.</span>
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Answer:

The answer to the question are

(B) The set is not a vector space because it is not closed under addition. and

(D) The set is not a vector space because an additive inverse does not exist.

Step-by-step explanation:

To be able to identify the possible things that can affect a possible vector space one would have to practice on several exercises.

The vector space axioms that failed are as follows

(B) The set is not a vector space because it is not closed under addition.

(2·x⁸ + 3·x) + (-2·x⁸ +x) = 4·x which is not an eighth degree polynomial

(D) The set is not a vector space because an additive inverse does not exist.

There is no eight degree polynomial  = 0

The axioms for real vector space are

  • Addition: Possibility of forming the sum  x+y which is in X from elements  x and y which are also in X
  • Inverse: Possibility of forming an inverse -x which is in X from an element x which is in X
  • Scalar multiplication: The possibility of forming multiplication between an element x in X and a real number c of which the product cx is also an element of X
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The graph of y= e^x is transformed as showed in the graph below. Which equation represents the transformed equation
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The parent function y=e^x passes through the point (0,1), since e^0=1

Your function passes through the point (0,4), which means that the parent function has been translated 3 units up.

To translate a function vertically, you have to add a constant, i.e. you have to transform f(x)\mapsto f(x)+k

k is the amount of units you want to translate: positive if you translate upwards, negative if you translate downwards.

In your case, you move 3 units upwards, so you want k=3 and your function is

y=e^x+3

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Answer: Try 6

Step-by-step explanation:

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