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数学 高校生

青チャート数学I+Aの78番、二次関数の対称移動の問題です。 放物線をX軸方向に-I、y軸方向に8だけ平行移動すると書いてあるのに、どうして+I、-8をしているのでしょうか…? 解答お願いします🙏

p.131 vele fo c) 解答 基本例題 78 2次関数の係数決定「平行・対称移動] 放物線y=x2+ax+bを原点に関して対称移動し、更にx軸方向に -1,y 軸方 向に8だけ平行移動すると, 放物線y=-x2+5x+11 が得られるという。この とき,定数a,bの値を求めよ。 基本 75~77 指針 グラフが複数の移動をする問題では, その移動の順序に注意する。 ① 放物線y=x²+ax+bを,条件の通りに原点対称移動→平行移動と順に移 動した放物線の方程式を求める。 2 ① で求めた放物線の方程式がy=-x²+5x+11 と一致することから、 係数に注目 してα,6の方程式を作り,解く。 または、 別解 のように, 複数の移動の結果である放物線y=-x2+5x+11 に注目し, 逆の移動を考えてもよい。 原点対称 原点対称 y=x2+ax+b C₁ Cz これを解いてa=7, 6=3 放物線y=x2+ax+bを原点に関して対称移動した放物線 の方程式は --y=(-x)+α(-x)+6 すなわち y=-x2+ax-b またこの放物線を更にx軸方向に-1,y 軸方向に 8 だ け平行移動した放物線の方程式は y-8=-(x+1)^+α(x+1)-6 すなわち、 y=-x2+(a-2)x+a-b+7 これがy=-x2 +5x+11 と一致するから a-2=5, a-b+7=11_ 軸方向に1, y 軸方向に8 軸方向に1,軸方向に-8 ONSONY 別解 放物線y=-x²+5x+11をx軸方向に1, y 軸方向 に8だけ平行移動した放物線の方程式は y+8=-(x-1)'+5(x-1)+11 すなわち y=-x2+7x-3 この放物線を更に原点に関して対称移動した放物線の 方程式は -y=-(-x)2+7(-x)-3 すなわち これがy=x2+ax+b と一致するから _a=7, y=-x2+5x+11 x-x y-y C1 とおき換える。 xx-(-1) y →y-8 とおき換える。 xの係数と定数項を比較。 b=3VENGEDA 133 YA 0 y=x²+7x+381040-005001+ C₂ C2 anda C3 10.4 3章 2次関数のグラフとそ xの係数と定数項を比較。 x

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英語 高校生

赤線の部分の訳と文構造が分かりません。 見ずらくてすいません🙇‍♂️

truly become between two independent individuals who fell in love and decided to make a life Such an important decision, perhaps the most important for themselves. decision of one's life, cannot be made by others. (1) sense. Marriage is But in many cultures it simply doesn't make fundamentally a social bond, uniting families and cementing their cultural and (イ) religious values. It may be romantic, but it is not just about the bride and groom; it's about family and community. Indeed, even in the West for most of history, marriage was not primarily about the individual needs and desires of a man and woman and the children they produced. Marriage had as ( ) to do with getting good in-laws and increasing one's resources and family labor force as it did with finding a lifetime companion and raising a beloved child. or Marriage spoke to the needs of the larger group. 3 Different traditions, different marriages. In India, over 90 percent of the (2) bemarriages are arranged. One survey in 2013 revealed that 74 percent of young 9 Indians aged between 18-35 years said that they would rather let their parents ad choose their life partners than choosing themselves. While the traditiona practice of arranged marriage has been illegal in China since the 1950s, parent remain heavily involved in their children's marital decisions, with many paren trying hard to persuade their children to get married by interrogating the (13) during family gatherings. In Japan, it was not until the early 1960s that le marriages outnumbered arranged ones. Arranged marriages can take a variety of forms ranging from fo marriages (where either the bride or the groom, or both, have no choice in matter) to consensual marriages (where the bride and groom have all 002 - 1

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英語 高校生

5つの下線部の正しい訳を教えて欲しです。 至急お願いします🚨🙇

Unit 12 Change the World Basic A few years ago, an obesity* researcher at the University of Washington-named Adam Drewnowski ventured into the supermarket to solve a mystery. He wanted to (1) figure out why (2)poor people were more likely to suffer from obesity in America. Obesity is, as you know, mainly caused by taking in too many calories. For most of history the poor have typically suffered from a shortage of calories, not an excess. So why do the people with the least amount of money to spend on food tend to be overweight today? 目 Drewnowski gave himself a dollar to spend, using it to purchase as many calories as he possibly could. He discovered that he could buy the most calories per dollar in the middle aisles of the supermarket, among the towering piles of* processed food and soft drinks. 3 Processed food is, in the broadest sense, any food that is changed from its natural, raw state. But here, it refers to food which has been chemically changed by using additives* such as flavors, colors, preservatives*, stabilizers*, etc., or which has been combined with other foods in a manufacturing process. Generally speaking, if the ingredients* aren't “natural,” then we consider it to be ( 3 ). Drewnowski found that a dollar could buy 1,200 calories of cookies or potato chips, which are typical processed foods, but only 250 calories of carrots. Looking for something to wash down those chips, he discovered that his dollar bought 875 calories of soda (a processed food) but only 170 calories of orange juice. 5 As a rule, processed foods are more “energy dense*” than fresh foods: they contain less water and fiber but more added fat and sugar, which makes them both (4)less filling and more fattening. 5 These particular calories also happen to be the least healthful ones in the marketplace, which is why we call the foods that contain them "junk*.” Drewnowski concluded that the rules of the food game in America are organized in such a way that if you are eating (6) on a budget, the most rational economic strategy is to eat badly-and get fat.

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英語 高校生

よく分からないので教えて欲しいです!

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