Transformations of curves

Slides:



Advertisements
Similar presentations
Inflection Points and the Second Derivative
Advertisements

Matching graphs Which of these sketch graphs shows how the depth of water in the glass changes with time? The water comes out of the tap at a constant.
5.4 Correlation and Best-Fitting Lines
12. Inequalities and Linear Programming
15: More Transformations © Christine Crisp “Teach A Level Maths” Vol. 2: A2 Core Modules.
Converting Between Rectangular and Polar Coordinates Sometimes we want to change from rectangular coordinates to polar coordinates, and from polar coordinates.
I.1 ii.2 iii.3 iv.4 1+1=. i.1 ii.2 iii.3 iv.4 1+1=
The Other Side Product Design Sketching Activity.
I.1 ii.2 iii.3 iv.4 1+1=. i.1 ii.2 iii.3 iv.4 1+1=
Determine whether each curve below is the graph of a function of x. Select all answers that are graphs of functions of x:
Combining several transformations
Completing the square Solving quadratic equations 1. Express the followings in completed square form and hence solve the equations x 2 + 4x – 12 = 0 (x.
Using Transformations to Graph the Sine and Cosine Curves The following examples will demonstrate a quick method for graphing transformations of.
Graphing Linear Inequalities Objective- To graph inequalities on the coordinate plane.
Sketching a Quadratic Graph Students will use equation to find the axis of symmetry, the coordinates of points at which the curve intersects the x-axis,
EXAMPLE 7 Graph logarithmic functions Graph the function. SOLUTION a.y = 3 log x Plot several convenient points, such as (1, 0), (3, 1), and (9, 2). The.
Circles Objectives: Write an equation for a circle given sufficient information Given an equation of a circle, graph it and label the radius and the center.
Equations of Circles. You can write an equation of a circle in a coordinate plane, if you know: Its radius The coordinates of its center.
Algebra 2. Lesson 5-3 Graph y = (x + 1) 2 – Step 1:Graph the vertex (–1, –2). Draw the axis of symmetry x = –1. Step 2:Find another point. When.
EXAMPLE 7 Graph logarithmic functions Graph the function. SOLUTION a.y = 3 log x Plot several convenient points, such as (1, 0), (3, 1), and (9, 2). The.
EXAMPLE 1 Graph y = b for b > 1 x SOLUTION Make a table of values.STEP 1 STEP 2 Plot the points from the table. Graph y =. x 2 STEP 3 Draw, from left to.
基 督 再 來 (一). 經文: 1 你們心裡不要憂愁;你們信神,也當信我。 2 在我父的家裡有許多住處;若是沒有,我就早 已告訴你們了。我去原是為你們預備地去 。 3 我 若去為你們預備了地方,就必再來接你們到我那 裡去,我在 那裡,叫你們也在那裡, ] ( 約 14 : 1-3)
Lesson 1.4 Read: Pages Page 48: #1-53 (EOO).
Calculus Continued Tangents and Normals Example Find the equations of the tangent and normal to the graph of at the point where.
I can draw reflections in the coordinate plane.
13.4 Graphing Lines in Slope-Intercept Form
Intercepts.
Warmup 3-7(1) For 1-4 below, describe the end behavior of the function. -12x4 + 9x2 - 17x3 + 20x x4 + 38x5 + 29x2 - 12x3 Left: as x -,
Sketching the Derivative
Algebra 1 Notes Lesson 4-1: The Coordinate Plane
Graphing Linear Inequalities
Sketch the region enclosed by {image} and {image}
Sketch the region enclosed by {image} and {image}
ФОНД ЗА РАЗВОЈ РЕПУБЛИКЕ СРБИЈЕ
Since H is 4 units to the left of the y-axis,
The gradient of a tangent to a curve
1.
Area Between Polar Curves
Graph Absolute Value Equations
Transformations of graphs
Transformations.
x = 4y - 4 x = 4y + 4 x = 4y - 1 y = 4x - 4 y = 4x - 1 y = 4x + 4
Graphing on the Coordinate Plane
Слайд-дәріс Қарағанды мемлекеттік техникалық университеті
.. -"""--..J '. / /I/I =---=-- -, _ --, _ = :;:.
Graph of the derived function
Bellringer Find the equation of the parabola given the following points, then find the axis of symmetry and the minimum value. (-3,-2), (-4,1), (0,1)
II //II // \ Others Q.
'III \-\- I ', I ,, - -
I1I1 a 1·1,.,.,,I.,,I · I 1··n I J,-·
Objective - To graph ordered pairs on the coordinate plane.
Parabola Investigation
Concavity of a Function
Name:______________________________
4-1 Graphing on the Coordinate Plane
Drawing Graphs The parabola x Example y
Concavity of a Function
Graphing on the Coordinate Plane
The Quadratic Curve Wednesday, 01 May 2019.
Curve Sketching: Sketching
To Start: Simplify the following: -5(2)(-4) -4(-3)(6) -6(2)(-1) = 40
The Distance & Midpoint Formulas
Concavity of a Function
The Quadratic Curve Monday, 27 May 2019.
1.7 Transformations of Functions
,, 'III \-\-
Remember, the coordinates should form a straight line.
. '. '. I;.,, - - "!' - -·-·,Ii '.....,,......, -,
Line Graphs.
Rotation Around a Point
Presentation transcript:

Transformations of curves Example The graph opposite is of Use the graph to draw sketches of (i) (ii) (iii) x y

Use the graph to draw sketches of (i) Example The graph below is of Use the graph to draw sketches of (i) x y -4 1 (ii) (iii)

Use the graph to draw sketches of (i) Example The graph below is of Use the graph to draw sketches of (i) x y 1 2 (ii) (iii)

Use the graph to draw sketches of (i) Example The graph below is of Use the graph to draw sketches of (i) x y -1 1 (ii) (iii)

Give the new coordinate of Point A on the two sketches Example x y A -2 2 1 This is the sketch of Sketch the graph of Sketch the graph of Give the new coordinate of Point A on the two sketches

Example This is the sketch of Sketch the following curves, giving the new coordinates of A, B, C in each case. (a) x y B -2 (0,3) 1 A (-2,1) C (2,0) (b) (c) (d)