Please solve below: (1) Factorise the following quadratics: (a) x²-3x - 10 (b) 3x² - 9x + 6 (c) x² - 64 (2) Use the quadratic formula to solve the following quadratics for r. Which of these quadratics did you find easier to solve and why? (a) 2x²7x+6=0 (b) x²-5x20 = 0 (3) For each of the following quadratic equations, identify the shape of the quadratic (frown or smile shape) explaining why you chose that shape, and find the x and y intercepts. (a) y = -2x² + 4x+6 (b) f(x) = x² + 4x +3 (4) Use your answer from the previous question to explain whether the graph in Figure 1 is y = −2x² + 4x + 6 or f(x) = x² + 4x + 3. Explain why. (5) Sketch the quadratic y = x² - 4x - 60. Please provide all working for identifying the shape and intercepts. I 0 4 -2 2 4 -5 -10 -15 -20- FIGURE 1. Graph G