Try Magic Notes and save time.Try it free
Try Magic Notes and save timeCrush your year with the magic of personalized studying.Try it free
Question

# a. Find the vertex and intercepts. b. Sketch the graph. c. Confirm your sketch using PLOT CONIC from the accompanying disk, or another suitable graphing program. Find the vertex and intercepts of the following parabolas, and sketch the graph. Find decimal approximations for any radicals you encounter. $y=\frac{1}{5} x^2+2 x-\frac{11}{5}$

Solutions

Verified
Step 1
1 of 4

(a) In general, a parabola is given by the equation

$y = ax^2+bx+c$

The vertex of this parabola is the point $(x_0,y_0)$ given by

$x_0 = -\frac{b}{2a},\,\,\, y_0 = \frac{4ac-b^2}{4a}$

The $x$-intercepts $x_1$ and $x_1$ (if they exist) are given by the formula

$x_{1,2} = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$

The $y$-intercept is given by $y_1=c$.

## Recommended textbook solutions #### Algebra and Trigonometry

1st EditionISBN: 9780131657106Foerster
3,739 solutions #### Algebra 2 Common Core

1st EditionISBN: 9780133186024 (2 more)Basia Hall, Charles, Kennedy
7,536 solutions #### enVision Algebra 2

1st EditionISBN: 9780328931590Al Cuoco
3,573 solutions #### Big Ideas Math Algebra 2: A Common Core Curriculum

1st EditionISBN: 9781608408405Boswell, Larson
5,067 solutions