Parabolas : Intercepts, Vertex and Line of Symmetry

Use f(x)=-2(x+3)^2+4 to find the following values. Round any answers to two decimal places. You must show work for each answer choice or provide justification.

4a. y-intercept as an ordered pair.
4b. Determine the axis of symmetry written as an equation.
4c. Vertex as an ordered pair?
4d. Domain, in interval notation.
4e. Range, in interval notation.
4f. X-intercepts - both exact and approximate values (show all work).

Solution Preview

Use f(x)=-2(x+3)^2+4 to find the following values. Round any answers to two decimal places. You must show work for each answer choice or provide justification.

4a. y-intercept as an ordered pair.

To get y-intercept, we let x=0. So,
...

Solution Summary

Intercepts, vertex and line of symmetry are found for a parabola. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

... Using your answer to part (a), or otherwise, write down the coordinates of the vertex of the parabola. c) Find the x-intercepts and the y-intercept of the ...

... And it is a minima (the parabola opens upward) The function is symmetric about ... The x-intercepts are and It intersects the y-axis when x=0 ... The y-intercept is. ...

... you can find the data used when graphing the parabolas in the ... Type N if there are no intercepts.). The y-intercept is (0,?) (Type N if there are no intercepts.). ...

... 1, this means that 8 will be maximum since the parabola will open ... 2) => 4( x − 2)( x + 2) = 0 . Our X-intercept will be ... Find the x-intercepts and y-intercepts...

... So, x=±5 Similarly, for y-intercept, put x=0 and ... For the line, you can find the intercepts by putting x ... The equations of the parabola with vertex (h, k) are ...

... So the maximum area occurs at the vertex of the parabola f(x)=-2x^2+100x. ... 6. F(x) = -x^2+3x+28 X coordinates of the intercepts are x ... The y intercept is (0, ____ ...

... There are 2 x-intercepts and 1 y-intercept because a ... because this line shows that the quadratic function is a perfectly symmetrical parabolic graph, and it ...

... If the graph of parabola opens upwards then parabola has a ... in part a, how many x-intercepts would the ... There is one x-intercept because this equation has two ...

... value of -9 at x = 1. The graph (parabola) opens upwards ... discriminant in part a, how many x-intercepts would the ... Answer: f(x) will have only one x-intercept. ...