Reflection in y axis - Study guides, Study notes & Summaries

Edexcel AS Pure Maths, AS-Level Pure Maths, pure maths As level QUESTIONS WITH CORRECT ANSWERS Quadratic Formula - ANSWER Domain - ANSWER The set of possible inputs for a function. Range - ANSWER The set of possible outputs of a function. Discriminant - ANSWER b² - 4ac > 0 then two distinct real roots. b² - 4ac = 0 then one repeated real root. b² - 4ac < 0 then a quadratic function has no real roots. Types of Lines for Regions - ANSW...

How to go from short leg to hypotenuse in a 45-45-90 triangle correct answer: x times radical 2 How to go from short leg to long leg in a 30-60-90 triangle correct answer: x times radical 3 How to go from short leg to hypotenuse in a 30-60-90 triangle correct answer: x times 2 90 degrees clockwise/ 270 degrees counter clockwise rotation: (x, y) -> ___? correct answer: (y, -x) 180 degrees rotation: (x, y) -> ___? correct answer: (-x, -y) 270 degrees clockwise/ 90 degrees...

Gradient y2-y1/x2-x1 Length of a line sqrt((x2-x1)^2+(y2-y1)^2) Midpoint (x1+x2/2, y1+y2/2) How do you know if two lines are perpendicular? When you multiply the gradients together they should equal -1. The general rule is perpendicular = -1/m. Or you could use Pythagoras to show there is a right angle How do you know if two lines are parallel? The gradients should be the same What should you always remember when finding the square roots? The answer could...

Reflection over x-axis - answer-(x,-y) Reflection over y-axis - answer-(-x,y) Rotate 90° clockwise / 270° counterclockwise - answer-(y,-x) Rotate 90° counterclockwise / 270° clockwise - answer-(-y,x) Rotate 180° counter/clockwise - answer-(-x,-y) Enlarge (x,y) at k=2 - answer-(2x,2y) Dilate (x,y) at k=1/2 - answer-(½x,½y) Positive graphs go: - answer-Up from the right Negative graphs go: - answer-Down from the right In 3/4, what is the dividend...

SPL wavelength x # of cycles With phased array transducers, the transmitted sound beam is steered by Varying the timing of pulses to the individual piezoelectric elements What type of wave is sound? mechanical and longitudinal The Frequency ranges for Ultrasound are: > 20,000 Hz (20kHz) The speed of sound in soft tissue is: 1540 m/s Linear sequence Array transducer that fires the elements in groups Unit for Wavelength is millimeters Enha...

Cubic A graph where the highest exponent is 3 Cubic function f(x) = ax³+bx²+cx+d Repeated root A function where at least 2 of the roots are equal. The turning point of the graph is on the x-axis E.g. y=(x-3)(x-2)² Point of inflection A function where all the roots are equal The graph flattens off on the x-axis E.g. y=(x-2)³ Sketching graphs with exponents Find the shape, roots, and y-intercept Mark any points of intersection with the axises - Shape is a...

fg(x) apply g first then f Functions f(x) and f^-1(x) reflections of each other in the line y = x Domain of f(x) Range of f^-1(x) Range of f(x) Domain of f^-1(x) y = |f(x)| reflection of y = f(x) for x>0 in the x-axis y = f(|x|) reflection of y = f(x) for x≥0 in the y-axis Formula for the nth term of an arithmetic sequence Un = a + (n-1)d where a is the first term and d is the common difference Arithmetic sequence example 5, 7, 9, 11 ...

Geometry Module 2 FLVS Already Passed Transformation Translation Rigid Motion Reflection Rule for reflection across the x-axis Rule for reflection across the y-axis Rule for reflection across line y=x Rotation Rule for rotation of 90 degrees clockwise around the origin Rule for rotation of 90 degrees counterclockwise around the origin Rule for rotation of 180 degrees around the origin Line of symmetry Rotational symmetry Order of Rotation Angle of Rotation Corresponding parts nee...

College Algebra Questions and Answers 2023 quadratic formula compound interest formula simple interest formula distance formula D=R X T complex numbers discriminant formula if D> 0: 2 real solutions if D<0: 2 non-real solutions if D=0 : exactly 1 solution factor by grouping inequality signs when the inequality sign changes if you multiply or dividing both sides of the inequality by a negative number it changes the direction of t...

ARDMS- SPI Questions and Answers with Certified Solutions The horizontal axis, or x-axis Runs side to side The vertical axis, or y-axis Runs up and down Unrelated Two items that are not associated Related or Proportional Two items that are associated or affiliated However, the relationship between the items does not have to be specified Directly related or Directly proportional Two items that are associated such that when one item increases, the other increases Inversely related or inversel...