Topic 2 Graphical solutions of equations

Question 1

By drawing a tangent, find the gradient of the curve at x = 3.5
If you obtain a fraction from your calculator, what do you leave your answer as?

Answer 1

in 3s.f.

Question 2

Calculate the deceleration of the particle during the last 30 seconds. If you obtain a fraction from your calculator, what do you leave your answer as?

Answer 2

Leave it as a mixed fraction-> it needs to be exact since it is calculating the deceleration and leaving it in exact form will be more accurate

Question 3

What are the three types of quadratic forms that allows you to sketch the graph given a function?

Answer 3

1. y = ax square + bx + c
2. y = a(x-h) square + k

3.
y = a(x - weird a)(x - weird B)

Question 4

When is y = ax square + bx + c used to sketch a graph when given a function?

Answer 4

Use when given 3 points.

Question 5

When is y = a(x-h) square + k used to sketch a graph when given a function?

Answer 5

Use when given turning point.

Question 6

When is y = a(x- weird a)(x - weird B) used to sketch a graph when given a function?

Answer 6

Use when given roots.