https://peda.net/id/3918a3e2bfe 2018-09-24T13:47:25+03:00 https://peda.net/:static/535/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license" href="https://peda.net/info">Peda.net-yleislisenssi</a></div> https://peda.net/id/151e29b0c17 2018-09-26T13:44:02+03:00 a) tosi<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(-1%5Cright)%3D%5Cleft(-1%5Cright)%5E2-2%5Ccdot%5Cleft(-1%5Cright)-3" alt="f\left(-1\right)=\left(-1\right)^2-2\cdot\left(-1\right)-3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3-3%3D0" alt="3-3=0"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(3%5Cright)%3D3%5E2-2%5Ccdot3-3" alt="f\left(3\right)=3^2-2\cdot3-3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=9-6-3%3D0" alt="9-6-3=0"/><br/> b) epätosi<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(-1%5Cright)%3D%5Cleft(-1%5Cright)%5E2-2" alt="f\left(-1\right)=\left(-1\right)^2-2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=1-2%3D-1" alt="1-2=-1"/>(-3)<br/> c) tosi 2018-09-26T13:44:02+03:00 https://peda.net/id/8a392af2c17 2018-09-26T13:40:09+03:00 a) a=-1<br/> b) <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(2%5Cright)%3Da%5Ccdot2%5E2-4%5Ccdot2%2B3a" alt="f\left(2\right)=a\cdot2^2-4\cdot2+3a"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=8-4%3Da%2B3a" alt="8-4=a+3a"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=4%3D4a" alt="4=4a"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=a%3D1" alt="a=1"/> 2018-09-26T13:40:09+03:00 https://peda.net/id/e84669aabfe 2018-09-26T13:36:15+03:00 a) vaikuttaa nollakohtiin ja sijoittumiseen y-akselilla<br/> b) c=-4<br/> c) c&gt;0 2018-09-24T14:13:47+03:00 https://peda.net/id/ab227488bfe 2018-09-24T14:12:04+03:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7Bx%5E2%7D%7B2%7D%2Bx%2B2-%5Cleft(%5Cfrac%7Bx%5E2%7D%7B3%7D%2B%5Cfrac%7B3%7D%7B4%7Dx%2B2%5Cright)" alt="\frac{x^2}{2}+x+2-\left(\frac{x^2}{3}+\frac{3}{4}x+2\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7Bx%5E2%7D%7B2%7D%2Bx%2B2-%5Cfrac%7Bx%5E2%7D%7B3%7D-%5Cfrac%7B3%7D%7B4%7Dx-2" alt="\frac{x^2}{2}+x+2-\frac{x^2}{3}-\frac{3}{4}x-2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B3x%5E2%7D%7B6%7D-%5Cfrac%7B2x%5E2%7D%7B6%7D%2Bx-%5Cfrac%7B3%7D%7B4%7Dx%2B2-2" alt="\frac{3x^2}{6}-\frac{2x^2}{6}+x-\frac{3}{4}x+2-2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B1%7D%7B6%7Dx%5E2%2B%5Cfrac%7B1%7D%7B4%7Dx" alt="\frac{1}{6}x^2+\frac{1}{4}x"/><br/> b) <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=12%5Cleft(%5Cfrac%7Bx%5E2%7D%7B2%7D-%5Cfrac%7Bx%7D%7B3%7D%5Cright)-3x%5E2%2B4x%2B1" alt="12\left(\frac{x^2}{2}-\frac{x}{3}\right)-3x^2+4x+1"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B12x%5E2%7D%7B2%7D-%5Cfrac%7B12x%7D%7B3%7D-3x%5E2%2B4x%2B1" alt="\frac{12x^2}{2}-\frac{12x}{3}-3x^2+4x+1"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=6x%5E2-4x-3x%5E2%2B4x%2B1" alt="6x^2-4x-3x^2+4x+1"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3x%5E2%2B1" alt="3x^2+1"/><br/> c) <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=-%5Cleft(x-2%5Cright)%5Cleft(3x%2B1%5Cright)" alt="-\left(x-2\right)\left(3x+1\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=-%5Cleft(3x%5E2%2Bx-6x-2%5Cright)" alt="-\left(3x^2+x-6x-2\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=-3x%5E2%2B5x%2B2" alt="-3x^2+5x+2"/><br/> d)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=0%7B%2C%7D5%5Cleft(2x%2B3%5Cright)%5Cleft(x-0%7B%2C%7D5%5Cright)" alt="0{,}5\left(2x+3\right)\left(x-0{,}5\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=0%7B%2C%7D5%5Cleft(2x%5E2-x%2B3x-1%7B%2C%7D5%5Cright)" alt="0{,}5\left(2x^2-x+3x-1{,}5\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5E2%2Bx-0%7B%2C%7D75" alt="x^2+x-0{,}75"/> 2018-09-24T14:12:04+03:00 https://peda.net/id/94a1b832bfe 2018-09-24T14:04:17+03:00 a) <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3x-2x%5Cleft(1-5x%5Cright)%2B3" alt="3x-2x\left(1-5x\right)+3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3x-2x%2B10x%5E2%2B3" alt="3x-2x+10x^2+3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=10x%5E2%2Bx%2B3" alt="10x^2+x+3"/><br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=5%5Cleft(6x%2B10%5Cright)%5Cleft(x-2%5Cright)" alt="5\left(6x+10\right)\left(x-2\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=5%5Ccdot%5Cleft(6x%5E2-12x%2B10x-20%5Cright)" alt="5\cdot\left(6x^2-12x+10x-20\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=30x%5E2-60x%2B50x-100" alt="30x^2-60x+50x-100"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=30x%5E2-10x-100" alt="30x^2-10x-100"/><br/> c) <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=z-%5Cleft(z-1%5Cright)%5Cleft(z-2%5Cright)" alt="z-\left(z-1\right)\left(z-2\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=z-%5Cleft(z%5E2-2z-z%2B2%5Cright)" alt="z-\left(z^2-2z-z+2\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=z-z%5E2%2B2z%2Bz-2" alt="z-z^2+2z+z-2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=-z%5E2%2B2z-2" alt="-z^2+2z-2"/><br/> d)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(x%2B3%5Cright)%5Cleft(x%2B4%5Cright)-x%5Cleft(x%2B1%5Cright)" alt="\left(x+3\right)\left(x+4\right)-x\left(x+1\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5E2%2B4x%2B3x%2B12-x%5E2-x" alt="x^2+4x+3x+12-x^2-x"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=6x%2B12" alt="6x+12"/> 2018-09-24T14:04:17+03:00 https://peda.net/id/e19d4130bfe 2018-09-24T13:52:07+03:00 a) suora, laskeva<br/> b) alaspäin aukeava paraabeli<br/> c) suora, laskeva<br/> d) alaspäin aukeava paraabeli 2018-09-24T13:52:07+03:00 https://peda.net/id/9b50f28abfe 2018-09-24T13:52:32+03:00 a) toisen asteen termi: -2x^2<br/> toisen asteen termin kerroin: -2<br/> ensimmäisen asteen termin kerroin: 3<br/> kuvaaja aukeaa ylöspäin<br/> b) toisen asteen termi: 0,3x^2<br/> toisen asteen termin kerroin: 0,3<br/> ensimmäisen asteen termin kerroin: ei ole<br/> kuvaaja aukeaa alaspäin<br/> c) toisen asteen termi 2/3x^2<br/> toisen asteen termin kerroin 2/3<br/> ensimmäisen asteen termin kerroin -0,5<br/> kuvaaja aukeaa alaspäin 2018-09-24T13:50:09+03:00