Core 1

Question 1

How do you solve a hidden quadratic?

Answer 1

Substitute the power of x for y, then solve the quadratic, replacing y with the power of x at the end

Question 2

How do you find the equation of a tangent to a circle at a given point?

Answer 2

Find the gradient of the radius to the point, then find the perpendicular gradient (tangent gradient) and use this with the point coordinates to find the full equation

Question 3

How do you find the point where a circle meets the y-axis?

Answer 3

Make x equal to 0, leaving (-a)^2+(y-b)^2=r^2

Question 4

How do you find stationary points?

Answer 4

dy/dx =0

DO NOT USE THE SECOND DIFFERENTIAL!!

Question 5

What do you use the second differential for?

Answer 5

Determining the nature of a stationary point i.e. min, max or point of inflection

Question 6

If the 2nd differential =0, what is the nature of the stationary point?

Answer 6

Point of inflection

Question 7

What is the discriminant?

Answer 7

b^2-4ac

Question 8

How do you find a perpendicular gradient?

Answer 8

-1/given gradient

Question 9

If you multiply a polynomial with 3 terms by one with 4, how many terms does the answer have?

Answer 9

4*3=12 terms

Question 10

When solving a quadratic inequality, what should you use to help?

Answer 10

A graph sketch, with arrows indicating above or below 0

Question 11

If the coefficient of the largest power in an even function is negative, what changes about the graph?

Answer 11

It becomes n shaped instead of u shaped