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Quadratic expressions
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This lesson contains 31 slides, with interactive quizzes, text slides and 1 video.

Items in this lesson

Quadratic expressions

Slide 1 - Slide

Lesson 1

Slide 2 - Slide

Slide 3 - Slide

Slide 4 - Slide

Find the axis of symmetry using

y=x26x+10
x=2ab

Slide 5 - Open question

and find the vertex that belongs with this function

y=x26x+10

Slide 6 - Open question

Find the axis of symmetry using

y=x28x+12
x=2ab

Slide 7 - Open question

and find the vertex that belongs with this function

y=x28x+12

Slide 8 - Open question

Finding the axis of symmetry
Left you can see the graph of 


You can find the x-coordinates where the parabola intersects the x-axis bij solving

-> x(x+4)=0
-> x=0 or x+4 = 0
x= 0 or  x = -4
The axis of symmetry is lying in the middle of these points , so at x=-2
f(x)=x2+4x
x2+4x=0

Slide 9 - Slide

Find the axis of symmetry

y=(x+5)(x3)

Slide 10 - Open question

and find the vertex

y=(x+5)(x3)

Slide 11 - Open question

Find the axis of symmetry

y=2x(x3)

Slide 12 - Open question

and find the vertex
y=2x(x3)

Slide 13 - Open question

Slide 14 - Video

Complete the square
y=x2+12x25

Slide 15 - Open question

Complete the square and find the axis of symmetry
y=x22x+14

Slide 16 - Open question

Lesson 2
3. I can explain from f(x) = a(x-s)(x-t) the characteristics of a, s and t
  
4. I can read of the points of intersection with the x-axis and use these to find the axis of symmetry and the coordinates of the vertex

Slide 17 - Slide

Slide 18 - Slide

Give the points of intersection with the x-axis from the function
f(x)=(x+2)(x3)

Slide 19 - Open question

Up or downward?
f(x)=(x+2)(x3)

Slide 20 - Open question

Give the points of intersection with the x-axis from the function
g(x)=2(x+2)(x3)

Slide 21 - Open question

Up or downward?
g(x)=2(x+2)(x3)

Slide 22 - Open question

Give the points of intersection with the x-axis from the function
h(x)=2(x2)(x+3)

Slide 23 - Open question

Up or downward?
h(x)=2(x2)(x+3)

Slide 24 - Open question

witch function is the narrowest f(x) or g(x)?
f(x)=(x+2)(x3)
g(x)=2(x+2)(x3)

Slide 25 - Open question

witch function is the narrowest f(x) or g(x)?
f(x)=(x+2)(x3)
g(x)=21(x+2)(x3)

Slide 26 - Open question

witch function is the narrowest f(x) or g(x)?
f(x)=2(x+2)(x3)
g(x)=2(x+2)(x3)

Slide 27 - Open question

Slide 28 - Slide

The graph of the function f(x)=2(x-s)(x-t) passes through the points (-6,0) and (3,0)

1. Write down the correct formula.

Slide 29 - Open question

The function from the slide earlier is f(x)=2(x+6)(x-3)

2. Write down the equation for the axis of symmetry

Slide 30 - Open question

From the graph of the function f(x)=2(x+6)(x-3) the equation for the axis of symmetry is y= -4.5

3. Calculate the coordinates of the vertex

Slide 31 - Open question