I can help you with this math worksheet. You need to find the x-intercepts and the axis of symmetry of a parabola given its graph. Here are some steps you can follow:
To find the x-intercepts, look at the points where the parabola crosses the x-axis. These are the values of x when y is zero. For example, in the first question, the x-intercepts are (-4, 0) and (2, 0), so the values of x are -4 and 2.
To find the axis of symmetry, use the formula x = -b/2a, where a and b are the coefficients of x^2 and x in the standard form of the parabola’s equation. You can find a and b by using the x-intercepts and plugging them into the equation y = ax^2 + bx + c. For example, in the first question, you can use (-4, 0) and (2, 0) to get two equations: 0 = a(-4)^2 + b(-4) + c and 0 = a(2)^2 + b(2) + c. You can solve for a and b by eliminating c and then substituting. You should get a = 1/3 and b = -4/3. Then, use the formula to get x = -(-4/3)/2(1/3) = 2/3. This is the equation of the axis of symmetry.
To check your answers, you can use an online graphing calculator such as this one. You can enter the equation of the parabola and see if it matches the graph on the worksheet. You can also see the x-intercepts and the axis of symmetry on the calculator.