Graph $y = - \frac { 3 } { 5 } x ^ { 2 } - x + \frac { 1 } { 5 }$ .

Question

Quizplus · Accepted Answer

The given equation is a quadratic function in the form of ax² + bx + c, where a = -3/5, b = -1, and c = 1/5. Since a is negative, the graph opens downwards (which eliminates choices A and D). The constant term c is positive, so the graph intersects the y-axis at (0, 1/5). To find the vertex of the parabola, we can use the formula x = -b/2a. Plugging in the values, we get x = -(-1)/(2*(-3/5)) = 5/6. To find the corresponding y-value, we can plug x = 5/6 into the equation and simplify: y = (-3/5)(5/6)² - (5/6) + 1/5 = -1/20. Therefore, the vertex is at (5/6, -1/20). Using this information, we can sketch the parabola and see that the correct graph is B.

Graph y=−35x2−x+15y = - \frac { 3 } { 5 } x ^ { 2 } - x + \frac { 1 } { 5 }y=−53​x2−x+51​

Graph $y = - \frac { 3 } { 5 } x ^ { 2 } - x + \frac { 1 } { 5 }$