what is x h 2 Share 15K views 6 years ago Algebra Learn how to use the method of FOIL to multiply and expand x h 2 FOIL is a technique in mathematics used to distribute two binomials and is an
Free math problem solver answers your algebra homework questions with step by step explanations To convert a quadratic from y ax2 bx c form to vertex form y a x h 2 k you use the process of completing the square Let s see an example Convert y 2x2 4x 5 into vertex form and state the vertex Equation in y ax2 bx c form y 2 x2 4 x 5
what is x h 2
what is x h 2
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x h 2 4 p y k A parabola is defined as the locus or collection of points equidistant from a given point the focus and a given line the directrix Another important point is the vertex or turning point of the parabola Step 1 Comparing the equation to the general vertex form y a x h 2 k of a parabola we see that h 2 and k 3 Therefore the vertex is 2 3 Step 2 We can find an
Extract a from the first two terms y a x b a x c Add and subtract b 2a inside the bracket y a x b a x b 2a b 2a c Use the short multiplication formula y a x b 2a b 2a c Expand the bracket y a x b 2a b 4a c This is your vertex form with h b 2a and k c Circle equation review Google Classroom Review the standard and expanded forms of circle equations and solve problems concerning them What is the standard equation of a circle x h 2 y k 2 r 2 This is the general standard equation for the circle centered at h k with radius r
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About the vertex the vertex is determined by x h and k The x value that makes x h 0 will be the x coordinate of the vertex K will be the y coordinate of the vertex y 10 x 4 3 This will have a vertex at 4 3 a is negative therefore will open down and have a maximum point 10 1 therefore it s really skinny Finding the vertex of the quadratic by using the equation x b 2a and then substituting that answer for y in the orginal equation Then substitute the vertex into the vertex form equation y a x h 2 k a will stay the same h is x and k is y
The term x h 2 is a square hence is either positive or equal to zero x h 2 0 If you multiply both sides of the above inequality by coefficient a there are two possibilities to consider a is positive or a is negative case 1 a is positive a x h 2 0 Add k to the left and right sides of the inequality a x h 2 k k Precalculus Simplify 2 x h 2 2 x h 2 2 x h 2 Rewrite x h 2 x h 2 as x h x h x h x h 2 x h x h 2 x h x h Expand x h x h x h x h using the FOIL Method Tap for more steps 2 x x x h hx h h 2 x x x h h x h h Simplify and combine like terms
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what is x h 2 - Circle equation review Google Classroom Review the standard and expanded forms of circle equations and solve problems concerning them What is the standard equation of a circle x h 2 y k 2 r 2 This is the general standard equation for the circle centered at h k with radius r