![oofoofoof1](/avatars/9554.jpg)
oofoofoof1
17.09.2019 •
Mathematics
Which is one of the transformations applied to the graph of f(x)=x^2 to change it into the graph of g(x)=-x^2+16x-44
the graph of f(x)=x^2 is widened.
the graph of f(x)=x^2 is shifted left 8 units.
the graph of f(x)=x^2 is shifted down 44 units.
the graph of f(x)=x^2 is reflected over the x-axis.
Solved
Show answers
More tips
- S Style and Beauty How Are Eyelash Extensions Applied? All Your Questions Answered...
- F Family and Home Tender Care for Your Parquet: Is it Possible to Clean Parquet?...
- S Society and Politics Is It Fact or Fiction? Let s Talk About Anton Chekhov s Pseudonym...
- S Sport Playing Bowling: Rules and Advice for Novices...
- C Computers and Internet How to Properly Repartition a Hard Drive?...
- A Auto and Moto What Is the Cost of Customs Clearance for a Car in Russia?...
- L Leisure and Entertainment Should You Buy a Ceramic Knife?...
- C Computers and Internet How to easily and quickly disable Firebug in Gmail and Google Docs...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
Answers on questions: Mathematics
- M Mathematics In the figure, ΔAFC≅ΔEFC. Which statement must be true?...
- M Mathematics The ratio of the radii of two circles C1 and C2 is 1.5. The ratio between the circumferences of circles C1 and C2 is and the ratio between the areas of circles C1 and...
- M Mathematics Simplify the expression 3/4x^2+4x+1 + x+1/4x^2-1...
- S Spanish Choose the best verb to complete the sentence. yo a casa después del trabajo...
- C Chemistry A moist red litmus paper is used for testing ammonia gas ,why...
- S Spanish Conociendo la historia de los mayas, puedes saberlo todo sobre esta cultura indígena. cierto falso 2. los españoles no lograron destruir en su totalidad las costumbres...
- E English The author of Passage 2 would likely criticize the author of Passage 1 for...
Ответ:
Only option D is one of the transformations needed.
Step-by-step explanation:
The graph of f(x)=x^2 is a positive parabola with x=0 as the zero in ordinates and also 0 as a zero x. This is, the graph passes in (0,0) and this is the only point it crosses both axis, then for every x value we will gave a positive f(x).
Here I attach a graph that shows both, f(x)=x^2 and g(x)=-x^2+16x-44.
As you can see, for transforming f(x) in g(x) we need to reflect it over the x axis, as g is open downwards. Then, as the quadratic term is still being x^2 we do not wide it (as you see in the graph both curves are equally widened).
Then, we can also see that the graph is shifted right, so we do not shift it left 8 units (notice that we shift it right 8 units).
So, after reflecting over the x axis and shifting right we need to shift it UP, as we can see the graph is over the x axis.
So, the three transformations needed are:
1. reflect over the x axis
2. shift right 8 units
3. shift up 20 units.
So, from the options you proposed we chose only d, to which we MUST add the transformations noted above.
Sorry for the mistake!
Ответ:
Simplifying
15 + -5(4x + -7) = 50
Reorder the terms:
15 + -5(-7 + 4x) = 50
15 + (-7 * -5 + 4x * -5) = 50
15 + (35 + -20x) = 50
Combine like terms: 15 + 35 = 50
50 + -20x = 50
Add '-50' to each side of the equation.
50 + -50 + -20x = 50 + -50
Combine like terms: 50 + -50 = 0
0 + -20x = 50 + -50
-20x = 50 + -50
Combine like terms: 50 + -50 = 0
-20x = 0
Solving
-20x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '-20'.
x = 0.0
Simplifying
x = 0.0