Question one which of the coordinate pairs is a point on the parabola y = x2 - 3x + 5 is it a negative 1, 9 b 2, -3 c 0, 0 or d 3, 1 question 2 solve the factor quadratic equation 3x - 1 2 x + 5 = 0 is it a x = -1/3, 2/5 b -2/5, 3 c 2x1/3, -5/2 or DX = -5, 1 question 3 find the values of x that make the following equation = 0 x - 3x + 5 = 0 is it a x = -5 and x = 3 b x = -3 and x = 5 c x = -5 and x = -3 or d x = 3 and x = -5 question 4 which quadratic equation is the factor of form of y = x2 - 12x + 20 is it a y = x + 2x + 10 b y equals x - 2x - 10 c y equals x - 6nx - 10 or d y equals x - 12 and x + 20

1 answer

1. To determine if a coordinate pair is a point on the parabola y = x^2 - 3x + 5, substitute the x and y values into the equation and check if it is true.
a) (-1, 9): 9 = (-1)^2 - 3(-1) + 5 is true, so (-1, 9) is a point on the parabola.

2. To solve the quadratic equation 3x^2 - 2x + 5 = 0, you can use the quadratic formula or factoring. However, the equation provided seems to have a typographical error. Please provide the correct equation for accurate solution options.

3. To find the values of x that make the equation x^2 - 3x + 5 = 0 true, you can solve it using factoring or the quadratic formula.
a) x^2 - 3x + 5 = 0 does not factor nicely, and the quadratic formula gives complex roots. Therefore, none of the options a, b, c, or d are correct.

4. The quadratic equation for the factor form of y = x^2 - 12x + 20 can be found by reversing the process of factoring or by completing the square.
a) y = (x - 2)(x + 10) expands to y = x^2 + 8x - 20, which is not equal to y = x^2 - 12x + 20. So, option a is not correct.
b) y = (x + 2)(x - 10) expands to y = x^2 - 8x - 20, which is not equal to y = x^2 - 12x + 20. So, option b is not correct.
c) y = (x - 4)(x - 5) expands to y = x^2 - 9x + 20, which is not equal to y = x^2 - 12x + 20. So, option c is not correct.
d) y = (x - 10)(x - 2) expands to y = x^2 - 12x + 20, which is equal to y = x^2 - 12x + 20. So, option d is correct.