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Coordinate geometry - Coggle Diagram
Coordinate geometry
Quadratic Functions
:star:
Sketching of graphs
y= +ve ( graph is u-shape/ smiley face)
y= -ve (graph is n-shape/ frown face)
TP: Max value
TP: Min. value
x-intercepts
Sub y=0 into the eqn.
Factorise & solve
y-intercepts
Sub x=0 into the equations
Solve
Max and Min. value
value of min/max of y= two x-values / 2
Quadratic Equations
Solving the equation
ax^+bx+c
square eqns.
a(b-c)^
f(x)= ax^+bx+c
Quadratic Expressions
inequalities
greater than, less than, equal to, greater than+ equal to, less than + equal to
number of intercepts
dependent on :arrow_right: b^- 4ac
Real- life examples
throwing a ball over a building
Qn: Finding distance of building :left_right_arrow: intercept value of (t)= 0
Qn: safety measure: Did the (fireworks ext.) pass the safety test?
y-axis = height