WebLet's find the axis of symmetry: x = (--4/3)/ (2 (-1/3)) x = -2 Now we plug -2 into the formula, and f (x) = 3. Graph (-2,3), and now, we use the quadratic formula to find the zeroes, which are -5 and 1. We graph the points on the x-axis and connect the three points with a curve. We're done! Comment ( 6 votes) Upvote Downvote Flag more Hadassah17 WebNov 16, 2024 · Every parabola has an axis of symmetry and, as the graph shows, the graph to either side of the axis of symmetry is a mirror image of the other side. This means that …
8.3 The Parabola - College Algebra 2e OpenStax
WebUsing the formula for the axis of symmetry, we get: x = -b / 2a. x = -24 / 2 (3) x = -4. So the axis of symmetry is the vertical line x = -4. We can see this in the graph below. The parabola from the quadratic function f (x) = 3x 2 + 24x + 7 (blue curve). The axis of symmetry is the vertical line x = -4 (dashed red line). WebApr 17, 2024 · Using the fact that a parabola is symmetric, we can determine the vertical line of symmetry using the x -intercepts. To do this, we find the x -value midway between the x -intercepts by taking an average as follows: Therefore, the line of symmetry is the vertical line: Lineofsymmetry x = − b 2a happy days season 6 putlocker
Parabola- Graph, Equation, Axis of Symmetry, Focus
Web8 rows · A parabola has one line of symmetry. The axis of the symmetry is the straight line that ... WebJan 16, 2024 · The graph of a quadratic function is a parabola. A parabola is a U-shaped curve that can open either up or down. The axis of symmetry is the vertical line passing through the vertex. The zeros, or x-intercepts, are the points at which the parabola crosses the x-axis. The y-intercept is the point at which the parabola crosses the \(y\)-axis. WebParabolas have the property that, if they are made of material that reflects light, then light that travels parallel to the axis of symmetry of a parabola and strikes its concave side is reflected to its focus, regardless of where on the parabola the reflection occurs. chalk paint white washing