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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: ally1784 on January 21, 2021, 03:41:28 pm

Title: Quadratic Worded Problem
Post by: ally1784 on January 21, 2021, 03:41:28 pm

Hi can someone help me with this question please?

Title: Re: Quadratic Worded Problem
Post by: Sine on January 21, 2021, 03:56:25 pm

Quote from: ally1784 on January 21, 2021, 03:41:28 pm

Hi can someone help me with this question please?

What aspect are you finding difficult?

A hint would be to think about what points does the parabola pass through.

Title: Re: Quadratic Worded Problem
Post by: Bri MT on January 21, 2021, 03:58:59 pm

Hints:

hint 1

- You know the co-ordinates of both intercepts

hint 2

- You can easily find the y-co-ordinate of A

hint 3

- The x co-ordinate of A is halfway between the x intercepts

Title: Re: Quadratic Worded Problem
Post by: ally1784 on January 21, 2021, 04:08:31 pm

the y-coordinate of A is 0.6 and aren't the coordinates (0,0) & (15,0)

Title: Re: Quadratic Worded Problem
Post by: Bri MT on January 21, 2021, 04:49:13 pm

Quote from: ally1784 on January 21, 2021, 04:08:31 pm

the y-coordinate of A is 0.6 and aren't the coordinates (0,0) & (15,0)

I'm assuming you meant 1.5 rather than 15? Otherwise, looking good!

You can now find the x-coord of A (use hint 3 from above if you are stuck)

You also know what the value of c is.

You can then use simultaneous equations to solve for a & b :)