please answer this five question 1 a quadratic relation has roots 0 and 6 and a maximum at 3 4 d

1) Since the quadratic has roots 0 and 6, we can write it as $y = a(x)(x-6)$. We also know that

Question

1) A quadratic relation has roots 0 and 6 and a maximum at (-3, 4). Determine the equation of the relation. 2) Use the quadratic formula to find the exact roots of 2x^2 + 5x = 9. 3) Find the x-intercepts of y = x^2 - 6x + 8 using the factoring method. Then, find the vertex of the parabola and sketch the graph, labeling fully (Note: sketch the graph on a graph paper). 4) A parabola is defined by y = 2x^2 + 8x + 5. Rewrite the relation in the form y = a * (x - h)^2 + k by completing the square. (3 points) b) Without solving, explain how you can tell how many x-intercepts there are. (1 point) c) Then, sketch the graph of the parabola, labeling the vertex, the axis of symmetry, and two other points. (Note: sketch the graph on a graph paper). 5) The hypotenuse of a right triangle has a length of 17 cm. The sum of the lengths of the legs is 23 cm. What are the lengths of the two legs?

          1) A quadratic relation has roots 0 and 6 and a maximum at (-3, 4). Determine the equation of the relation.
2) Use the quadratic formula to find the exact roots of 2x^2 + 5x = 9.
3) Find the x-intercepts of y = x^2 - 6x + 8 using the factoring method. Then, find the vertex of the parabola and sketch the graph, labeling fully (Note: sketch the graph on a graph paper).
4) A parabola is defined by y = 2x^2 + 8x + 5. Rewrite the relation in the form y = a * (x - h)^2 + k by completing the square. (3 points) b) Without solving, explain how you can tell how many x-intercepts there are. (1 point) c) Then, sketch the graph of the parabola, labeling the vertex, the axis of symmetry, and two other points. (Note: sketch the graph on a graph paper).
5) The hypotenuse of a right triangle has a length of 17 cm. The sum of the lengths of the legs is 23 cm. What are the lengths of the two legs?

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