Question

i inserted a picture of the question, i can give you the answer to question 4 if it helps, all the question go together question 5,6 & 7

Answer 1

• x -intercept,: (0,0) and (60,0)

• Vertex: (30,45)

The roots of the quadratic expression are the x -values in which, in our case, y = 0.

Then:

• r1 = 0

,

• r2 = 60

We can substitute these values in the following equation:

$y=a(x-r_1)(x-r_2)$$y=a(x-0_{})(x-60)$

Finally, we can substitute the vertex values in the equation to get a :

$45=a(30)(30-60)$$45=a(30)(-30)$$45=a(-90)$$a=\frac{45}{-90}$$a=-\frac{1}{2}$

Answer:

• 5. ,r1 = 0 and r2 = 60

,

• 6.

$y=a(x-0_{})(x-60)$$a=-\frac{1}{2}$$y=-\frac{1}{2}(x-0_{})(x-60)$

• 7.

$45=a(30)(30-60)$