Quadratics

Question 1

what is the quadratic formula?

Answer 1

y=ax2+bx+c

Question 2

a …………. x2 means a minimum turning point

Answer 2

positive

Question 3

y=(x+a)(x+b) gives the …………..

Answer 3

roots

Question 4

y=a(x-b)2+c gives the……………

Answer 4

turning point

Question 5

how can the turning point be found?

Answer 5

by going halfway between the roots.

Question 6

what is the first step in sketching a quadratic graph?

Answer 6

write down the coordinates of the roots by factorising the equation.

Question 7

what is the second step in sketching a quadratic graph?

Answer 7

write down the coordinates of the y-intercept by substitution of x=0 into factorised equation from step 1.

Question 8

what is the third step in sketching a quadratic graph?

Answer 8

write down the equation of the axis of symmetry by finding the midpoint of coordinates of the roots.

Question 9

what is the fourth step in sketching a quadratic graph?

Answer 9

state the nature of the turning point - if x2 is positive, the turning point is a minimum and if x2 is negative then the turning point is a maximum.

Question 10

what is the fifth step in sketching a quadratic graph?

Answer 10

write down the coordinates of the turning point by