Intro to Quadratics
Graph Features
Vertex Form
Real World Applications
Solving Quadratics
100
What is the graph of a quadratic relation called?
A parabola
100
What is the highest or lowest point of a parabola called?
Vertex
100
Write vertex form.
y = a(x - h)² + k
100
What shape does a kicked soccer ball follow?
A parabola
100
What method uses brackets to solve quadratics?
Factorisation AND Null Factor Law
200
What is the degree of a quadratic equation?
2
200
What line divides a parabola into two equal halves?
Axis of Symmetry
200
y=a(x-h)2+k
What does h represent?
Horizontal translation of turning point
200
Name one sport that uses quadratics.
Soccer, basketball, golf, football, baseball
200
Solve:
x² + 5x + 6 = 0
Answer:
x = -2 and x = -3
300
Write the standard form of a quadratic relation.
y = ax² + bx + c 
300
What are the points where a graph crosses the x-axis called?
x-intercepts, roots, or zeros
300
y=a(x-h)2+k
What does k represent?
Vertical movement
300
Engineers use quadratics when designing what structures?
Bridges and arches
300
What are solutions to a quadratic also called?
Roots or zeros or x-intercepts
400
Which variable determines whether a parabola opens upward or downward?
A
400
What is the y-intercept on a graph?
The point where the graph crosses the y-axis
400
What is the vertex (turning point) of:
y = (x - 4)² + 3
(4, 3)
400
Businesses use quadratics to maximize what?
Profit
400
Solve:
2x2-16x+30 = 0
x = 3, x = 5
500
If a = -3, does the parabola open upward or downward?
Downward
500
What is the axis of symmetry?
A vertical line passing through the turning point of the graph, which divides it in equal halves.
Defined by this relation: x = h
500
y=a(x-h)2+k
What happens when a becomes larger?
The parabola becomes narrower.
500
In physics, what type of motion is modeled using quadratics?
Projectile motion
500
How many real solutions can a quadratic have?
0, 1, or 2