A Parabola from Its Graph
Difficulty: Easy · Topics: Algebra, Functions, Graphs of Functions
Grafikdan parabola
The graph of the quadratic function y=f(x) has vertex (2, -4) and passes through the origin.
graph "x":[-1.5,5.5],"y":[-5,4],"xTicks":[-1,1,2,3,4,5],"yTicks":[-5,-4,-3,-2,-1,1,2,3,4],"grid":true,"clip":true,"label":"Parabola with vertex (2, -4) through the origin","items":["type":"curve","points":[[-0.7,3.29],[-0.628,2.906],[-0.556,2.533],[-0.484,2.17],[-0.412,1.818],[-0.34,1.476],[-0.268,1.144],[-0.196,0.822],[-0.124,0.511],[-0.052,0.211],[0.02,-0.08],[0.092,-0.36],[0.164,-0.629],[0.236,-0.888],[0.308,-1.137],[0.38,-1.376],[0.452,-1.604],[0.524,-1.821],[0.596,-2.029],[0.668,-2.226],[0.74,-2.412],[0.812,-2.589],[0.884,-2.755],[0.956,-2.91],[1.028,-3.055],[1.1,-3.19],[1.172,-3.314],[1.244,-3.428],[1.316,-3.532],[1.388,-3.625],[1.46,-3.708],[1.532,-3.781],[1.604,-3.843],[1.676,-3.895],[1.748,-3.936],[1.82,-3.968],[1.892,-3.988],[1.964,-3.999],[2.036,-3.999],[2.108,-3.988],[2.18,-3.968],[2.252,-3.936],[2.324,-3.895],[2.396,-3.843],[2.468,-3.781],[2.54,-3.708],[2.612,-3.625],[2.684,-3.532],[2.756,-3.428],[2.828,-3.314],[2.9,-3.19],[2.972,-3.055],[3.044,-2.91],[3.116,-2.755],[3.188,-2.589],[3.26,-2.412],[3.332,-2.226],[3.404,-2.029],[3.476,-1.821],[3.548,-1.604],[3.62,-1.376],[3.692,-1.137],[3.764,-0.888],[3.836,-0.629],[3.908,-0.36],[3.98,-0.08],[4.052,0.211],[4.124,0.511],[4.196,0.822],[4.268,1.144],[4.34,1.476],[4.412,1.818],[4.484,2.17],[4.556,2.533],[4.628,2.906],[4.7,3.29]],"start":"arrow","end":"arrow","type":"point","at":[2,-4],"label":"(2, −4)","anchor":"s","italic":false,"type":"point","at":[0,0],"type":"point","at":[4,0],"type":"guide","at":[2,-4],"to":"both","type":"label","at":[4.7,3.3],"text":"y = f(x)","anchor":"w","size":13]
Find f(5).
y=f(x) kvadrat funksiya grafigining uchi (2, -4) da va u koordinata boshidan o‘tadi.
graph "x":[-1.5,5.5],"y":[-5,4],"xTicks":[-1,1,2,3,4,5],"yTicks":[-5,-4,-3,-2,-1,1,2,3,4],"grid":true,"clip":true,"label":"Parabola with vertex (2, -4) through the origin","items":["type":"curve","points":[[-0.7,3.29],[-0.628,2.906],[-0.556,2.533],[-0.484,2.17],[-0.412,1.818],[-0.34,1.476],[-0.268,1.144],[-0.196,0.822],[-0.124,0.511],[-0.052,0.211],[0.02,-0.08],[0.092,-0.36],[0.164,-0.629],[0.236,-0.888],[0.308,-1.137],[0.38,-1.376],[0.452,-1.604],[0.524,-1.821],[0.596,-2.029],[0.668,-2.226],[0.74,-2.412],[0.812,-2.589],[0.884,-2.755],[0.956,-2.91],[1.028,-3.055],[1.1,-3.19],[1.172,-3.314],[1.244,-3.428],[1.316,-3.532],[1.388,-3.625],[1.46,-3.708],[1.532,-3.781],[1.604,-3.843],[1.676,-3.895],[1.748,-3.936],[1.82,-3.968],[1.892,-3.988],[1.964,-3.999],[2.036,-3.999],[2.108,-3.988],[2.18,-3.968],[2.252,-3.936],[2.324,-3.895],[2.396,-3.843],[2.468,-3.781],[2.54,-3.708],[2.612,-3.625],[2.684,-3.532],[2.756,-3.428],[2.828,-3.314],[2.9,-3.19],[2.972,-3.055],[3.044,-2.91],[3.116,-2.755],[3.188,-2.589],[3.26,-2.412],[3.332,-2.226],[3.404,-2.029],[3.476,-1.821],[3.548,-1.604],[3.62,-1.376],[3.692,-1.137],[3.764,-0.888],[3.836,-0.629],[3.908,-0.36],[3.98,-0.08],[4.052,0.211],[4.124,0.511],[4.196,0.822],[4.268,1.144],[4.34,1.476],[4.412,1.818],[4.484,2.17],[4.556,2.533],[4.628,2.906],[4.7,3.29]],"start":"arrow","end":"arrow","type":"point","at":[2,-4],"label":"(2, −4)","anchor":"s","italic":false,"type":"point","at":[0,0],"type":"point","at":[4,0],"type":"guide","at":[2,-4],"to":"both","type":"label","at":[4.7,3.3],"text":"y = f(x)","anchor":"w","size":13]
f(5) ni toping.