x^2+3x is a quadratic function that may be factored into x*(x+3), which means that the graph has zeroes at x = 0 and x = -3. Because x^2, the dominant term, is positive, it means that the graph will be sloping up at the edges. It will look like a parabola that crosses the x-axis at 0 and -3 and opens up.
Thus, the equation of the axis of symmetry is x = -3/2 or -1.5, (which passes in the midway of the x-intercepts)), and the x-intercept of the vertex is -3/2. So replace x with -3/2 into the parabola's equation, and find the y-coordinate of the vertex, -9/4 or -2.25.
So that you have the vertex and the x-intercepts points, but still they are not enough to draw the parabola
Let x = 1, then y = 4. So you have two more points: (1, 4) and (-4, 4).
Plot these points and draw the parabola that passes through them.
Chat with our AI personalities
It's a parabolic curve y=X^2+3×=×*(×+3)
if x=0 => y=0
if y=0 => x=-3
It is: 3x*(x+7)
x^2 + 3x + 2/(-3x) - x^2 - 2=3x-2+2/(-3x)=3x-2-2/(3x)
If that's -18y2, the answer is (3x - 2y)(x + 9y)
x^2+2x^2=3x^2
6x2 + 10x = 2x*(3x + 5)