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Misha Larkins [42]
3 years ago
10

Function g can be thought of as a translation (shifted) version of f(x)=x^2

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
8 0

Answer:

Step-by-step explanation:

f(x)=x^2  represents a parabola with vertex at (0, 0), that opens up.

If we translate this graph h units to the right, then g(x) will be:

g(x) = (x - h)^2.

If we translate the graph of  f(x)=x^2 k units up, then g(x) will be:

f(x)=x^2 + k

Next time, please indicate whether you are shifting the original graph to the right or to the left, and/or up or down.

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Answer:

1/25

Step-by-step explanation:

0.04 = 4/100 = 1/25

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Two angles of a triangle measure 27 degrees and 17 degrees what is the measure of the third angle?
MrRa [10]

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15

Step-by-step explanation:

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Suppose that you have a bowl of 500 m&m candies, and each day you eat 1/4 of the candies you have. Is the number of candies
Aleks [24]

Answer:

500(.75)^{n}

Step-by-step explanation:

It is changing exponentially because if you are eating a fraction of the left over m & m's, that is a different amount each time so it can't be linear.

500(1-(1/4))^n

500(.75)^{n}

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2 years ago
I WILL MARK BRAINLIEST PLEASE HELP FIND ANGLE DEB <br><br> ITS DUE AT 12 PLEASE HELP PLEASE
Gemiola [76]

Answer:

\boxed {\boxed {\sf \angle DEB = 111 \textdegree}}

Step-by-step explanation:

We want to find angle DEB. We know AB is perpendicular to AC, CD is congruent to CE and angle B is 48 degrees.

ABC is a triangle. The angles in a triangle must add up to 180 degrees. Therefore:

  • ∠A+∠B+∠C= 180°

We know two angles: ∠B= 48° and ∠A= 90° (the little square denotes a right angle).

  • 90°+48°+ ∠C= 180°                               <em>Substitute values in.</em>
  • 138°+ ∠C =180°                                      <em>Add</em>  
  • 138°-138° ∠C= 180°-138°                       <em>Subtract 138 from both sides.</em>        
  • ∠C= 42°    

Note that angle C is part of another triangle. It is isosceles because the two legs (CD and CE) are congruent. Therefore, the two base angles (E and D) are congruent.

  • ∠C+∠D+∠E= 180°
  • ∠C+ 2∠D= 180°                             <em>Angles D and E are congruent</em>
  • 42°+ 2∠D= 180°                             <em>Substitute 42 in for angle C</em>
  • 42°-42° +2∠D= 180°-42°               <em>Subtract 42 from both sides.</em>
  • 2∠D=  138°
  • 2∠D/2= 138°/2                              <em>Divide both sides by 2.</em>
  • ∠D= 69°

∠D and ∠E equal 69 degrees.

Angle CED (∠E)  and DEB are on a straight line together. Therefore, they are supplementary and equal 180 degrees.

  • ∠CED+ ∠DEB= 180
  • 69° +∠DEB= 180°                    <em>Substitute 69 for angle CED</em>
  • 69°-69° +∠DEB= 180°-69°      <em>Subtract 69 from both sides</em>
  • ∠DEB=111°

Angle DEB is equal to <u>111 degrees</u>

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3 years ago
Sam counted Out Loud by 6's Jorge counted Out Loud by 8s what are the first three numbers both Sam and George said
nadya68 [22]
Sam's first three number:6,12,18 George's first three numbers:8,16,24
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