What Is The Y Intercept Of A Parabola
The graph will open either up like a smiley face or down like a sad face and the vertex will be the lowest.
What is the y intercept of a parabola. To find the y-intercept let x 0 and solve for y. If the parabola only has 1 x-intercept see middle of picture below then the parabola is said to be tangent to the x-axis. So y x 1 x 5 Set x 2 for the vertex turning point to find y 9.
Divide by 9 and write down the remainder. O The graph is an exponential function with a y-intercept at 0 -7 and a horizontal asymptote at y 2. A parabola is a visual representation of a quadratic function.
Click on the Solve Step button to see the next step or Solve all button to see all steps. The x -intercepts are the points at which the parabola crosses the x -axis. You can solve for x by using the square root principle or the quadratic formula if you simplify the problem into the correct form.
X-intercepts in greater depth A parabola can have 2 x-intercepts 1 x-intercept or zero real x intercepts. Use the Equation to Find the Y-Intercept. The a in the vertex form of a parabola corresponds to the a in standard form.
I almost didnt produce this video. Identifying the Characteristics of a Parabola. The 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. In vertex form hk describes the vertex of the parabola and the parabola has a line of symmetry x h. To find the y-intercepts.