Graphs And Coordinate Geometry
Akopọ
Every equation in x and y has a shape hiding inside it. Coordinate geometry is the bridge between the algebra and the picture: read an equation correctly and you can predict whether its graph is a straight line, a curving parabola, a cubic wave or a two-branched reciprocal curve before a single point is plotted.
This topic covers plotting Cartesian coordinates, reading gradient and intercept straight from y = mx + c, sketching polynomial and reciprocal graphs from a table of values, using where two graphs cross to solve equations, and estimating the gradient of a curve using a tangent.
Awọn Afojusun
- Use rectangular Cartesian coordinates
- Recognise that equations of the form y = mx + c are straight-line graphs with gradient m and intercept on the y-axis at (0, c)
- Draw and interpret graphs of polynomial and reciprocal functions
- Use the intersection of two curves (graphs) to solve equations
- Determine the gradients of graphs by drawing tangents
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Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.
- What is the gradient of the line y = 5x + 2? A) 2 B) 5 C) -5 D) 7 Answer: B
- What is the y-intercept of the line y = -3x + 8? A) (0, -3) B) (0, 8) C) (8, 0) D) (0, -8) Answer: B
- The line through (1, 4) and (3, 10) has gradient: A) 2 B) 3 C) 6 D) 1/3 Answer: B
- The graph of y = 4/x is best described as: A) a straight line through the origin B) a parabola C) a curve with two branches that never touch the axes D) a cubic curve Answer: C
- The curves y = x^2 and y = 2x + 3 intersect where x^2 - 2x - 3 = 0. What are the x-coordinates of the intersection points? A) x = 1, x = -3 B) x = 3, x = -1 C) x = -3, x = -1 D) x = 1, x = 3 Answer: B
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
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