Graph the function using end behavior, intercepts and by completing the square to write the function in shifted form. Clearly state the transformations used to obtain the graph, and label the vertex and all intercepts (if they exist). Use the quadratic formula to find the x-intercepts. f(x) = 3x² + 5x + 1 A) left 1, down 2, stretched vertically B) right 1, down 2, stretched vertically C) left .8, down 1.1, stretched vertically D) right .8, down 1.1, stretched vertically

Question

Quizplus · Accepted Answer

By completing the square:
f(x) = 3(x + 5/6)^2 - 23/4
End behavior: As x approaches positive or negative infinity, f(x) approaches positive infinity.
Intercepts: 
y-intercept: f(0) = 1
x-intercepts: 
Using the quadratic formula, x = (-5 ± sqrt(67))/6
Transformations: 
- Shifted horizontally to the left by 5/6 
- Shifted vertically down by 23/4 
- Stretched vertically by a factor of 3 
Vertex: (-5/6, -23/4)

Graph the Function Using End Behavior, Intercepts and by Completing