Your work for a) is not consistent with the requirements above. In your work for a, you have y = -4. Which is it?r-soy said:
r-soy said:my answer :
The general form of a parabola equation is y = ax^2 + bx + c, where a, b, and c are constants and x is the independent variable. This form is also known as the standard form.
The vertex of a parabola can be identified by finding the values of x and y that make the equation equal to zero. These values, denoted as (h, k), represent the coordinates of the vertex.
The coefficient "a" in a parabola equation determines the shape and direction of the parabola. If a is positive, the parabola opens upwards, and if a is negative, the parabola opens downwards. The absolute value of a also determines the steepness of the curve.
Yes, a parabola can have zero, one, or two x-intercepts, depending on the values of its coefficients. If the discriminant (b^2 - 4ac) is greater than zero, the parabola will have two x-intercepts. If the discriminant is equal to zero, the parabola will have one x-intercept. And if the discriminant is less than zero, the parabola will have no x-intercepts.
To graph a parabola using its equation, you can use the coordinates of the vertex as the center point and then plot additional points by substituting different values of x into the equation. You can also use the axis of symmetry, which is a vertical line passing through the vertex, to find other points on the parabola.