There are two different formulas that you can use to find the axis of symmetry. One formula works when the parabola's equation is invertex formand the other works when the parabola's equation is instandard form. Standard Form If your equation is inthe standard formy=ax2+bx+cy=ax2+bx+...
question 1 of 3 What is the equation of the axis of symmetry for the graph? x = 1 x = -1 x = -8 y = -8 Next Worksheet Print Worksheet 1. What is the axis of symmetry for a parabola expressed by the quadratic equation of x2 + 10x - 25? x = -5 x = 5 x ...
Parabola is of the form4p(x−h)=(y−k)2and is symmetric around thex-axis Axis of symmetry is a line parallel to thex-axis which intersects the vertex: y=2 Graph Plotting:4(−41)(x−(−3))=(y−2)2 Sorry, your browser does not support this application ...
Add 44 to both sides of the equation. y=(x−2)2+4y=(x-2)2+4Use the vertex form, y=a(x−h)2+ky=a(x-h)2+k, to determine the values of aa, hh, and kk. a=1a=1 h=2h=2 k=4k=4Since the value of aa is positive, the parabola opens up. Opens UpFind the vertex (...
, and a point on its axis of symmetry, . Then the point on the graph of the parabola closest to the point either hasy-coordinate equal to , or is the vertex of the parabola. A calculus-based proof is fairly straightforward. The distance between a point on the parabola, say ...
Equation of parabola with vertex (0,0) , X-axis as axis of symmetry , and passing through (2,-4), is
She has 20 years of experience teaching collegiate mathematics at various institutions.Cite this lesson In geometry, an ellipse is a normal oval shape. Learn how to find the minor and major axes of an ellipse, review the definition of an ellipse, and solve problems to gain understanding. ...
Does thexmean thex-axis,ymeany-axis, and C mean slope? Context is Key: In mathematics, a lot of the struggle involved in understanding problems comes from understanding the context. For example, in the explanation below, we can say that {eq}x {/...
Find the Axis of Symmetry y=-4(x+5)^2 Algebra Examples y=−4(x+5)2y=-4(x+5)2 Use thevertexform,y=a(x−h)2+ky=a(x-h)2+k, to determine the values ofaa,hh, andkk. a=−4a=-4 h=−5h=-5 k=0k=0 Since the value ofaais negative, theparabolaopens down....
Find the Axis of Symmetry y=(x+5)^2-3 Use thevertexform,y=a(x−h)2+ky=a(x-h)2+k, to determine the values ofaa,hh, andkk. a=1a=1 h=−5h=-5 k=−3k=-3 Since the value ofaais positive, theparabolaopens up.