if a=2, b=12, and c=48. Find:
a2+cb
8
What does m and c stand for in the equation y=mx+c
m is the gradient, c is the y-intercept
The basic parabola is shifted 4 units up and 3 units right. What is the new equation?
y=(x-3)2+4
The point where a graph crosses x=0
y-intercept
Simplify the following
4x218(x-3)2×15(x-3)12x4
518x2(x-3)
Simplify:
5x(x+3)15x
x+33
What is the gradient of a linear graph that goes through the points (20,6) and (8,0)
m=12
What is the quadratic formula?
x=-b±√b2-4ac2a
What is the graph of a quadratic called?
Find the value of a so that the line ax-7y=8 is parallel to the line 3y+6x=7
a=-14
What is the simplified form of:
(4+a2)×(23a)
8+a3a
What is the midpoint between (-1, 5) and (19, -7)?
(9, -1)
Find the solutions to
0=x2-3x-28
x=-4,x=7
What is the line between the numerator and the denominator called?
Vinculum
Determine the number and type of solutions to the quadratic with equation:
y=3x2+11x-4
As the discriminant = 169, and √169=13 therefore, there are 2 rational solutions
If a = 3, s = 2, and v = 28, Find u:
v=u2+2as
±4
Daily Double!
How many points are you willing to risk?
What is the distance between (-3, -2)
and (16, 41)?
Put the following equation into turning point form
4x2-7x+3
4(x-78)2-116
The three other ways to say the x-intercepts
Solutions, Roots, Zeros
If a parabola has x-intercepts at 4 and -8 and a maximum turning point at (-2,9) , what is the rule of the graph in factorised form?
y=-14(x-4)(x+8)
Solve for x:
4x+13-x-24=2
x=1413
Find the equation of the line which passes through (1,2) and is perpendicular to the line with equation y=3x-9
y=-13x+73
Factorise the following expression:
3a4-14a2-5
(3a2+1)(a+√5)(a-√5)
What is the vertical line which runs through the Turning Point?
Axis of Symmetry
Simplify
7x2+35x+422x2+11x+15÷x2-42x2+x-10
=7