MATHEMATICS HIGH SCHOOL

Which phrase best describes the translation from the graph y=2(x-15)^2 +3 to the graph of y= 2(x-11)^2 +3

Answers

Answer 1
Answer:

Answer:

The graph y=2(x-15)^2 +3 is shifted left by 4 units .

Step-by-step explanation:

Function : y=2(x-15)^2 +3

Rule : f(x)→f(x+b)

The graph f(x) shifts left by b units.

Now Shift the given graph left by 4 units

So,  y=2(x-15)^2 +3 → y=2((x+4)-15)^2 +3→tex]y=2((x-11)^2 +3[/tex]

Thus the shifted graph is y= 2(x-11)^2 +3

Thus the graph y=2(x-15)^2 +3 is shifted left by 4 units .

Hence the phrase best describes the translation is the graph y=2(x-15)^2 +3 is shifted left by 4 units and the obtained graph is y= 2(x-11)^2 +3
Answer 2
Answer: to eliminate the +2 in the first graph, it would need to move 2 units right. 
to add the +3 to the first graph, it would need to move 3 units up. 

2 units right and 3 units up.

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Answers

-8 - x ≠ 0
-x ≠ 8
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So, domain:

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What additional information do you need to prove that ∆LMO ≅ ∆LNO by the HL Theorem? ∠NLO ≅ ∠MLO ∠MOL ≅ ∠NOL

Answers

The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The triangles ΔLNO and ΔLMO have the same leg Lo, therefore you need the equality of hypotenuses LM=LN.

For a better understanding of the solution given here please find the diagram in the file attached.

We know from the Hypotenuse Leg Theorem (the HL theorem) that "if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent."

Thus, as can be seen from the diagram, Side LO (also called leg LO) is common to both the triangles LMO and LNO. Therefore, the additional information that will be required to prove the congruence is that the respective hypotenuses, MO and NO are equal.

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a. e=389
b. e=299
c. e=289

Answers

912 + e = 1,201
e = 1,201 - 912 = 289
e = 289

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Answers

Sparkle is longer because 464 as cm is 46.4, consequently longer thatn 46 cm.

The graph of y=15(x-92)^2+3 has the axis of symmetry at x=___

Answers

Maybe the answer is 2

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Answers

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