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#globalmathinstitute #anilkumarmath Quadratic Equations TEST: • Quadratic Functions MCR3U Unit 3 Test... / @mathematicstutor Anil Kumar FREE Math Classes: https://www.globalmathinstitute.com/c... #vertexformMadeSImple #parabolaGraph #Standardform_VertexForm #equationfromgraph #grade10maths #anilkumar #globalmathinstitute #factorformMadeSimple Model Bridge with Quadratic Function: • Baseball batted at height of 4 reache... Standard to Vertex Form Standard Form: y=ax^2+bx+c Vertex Form: y=a(x-h)^2+k Perfect Square: (x±h)^2=x^2±2xh+h^2 Maximum and Minimum from Vertex Form Steps to Convert Standard to Vertex Form y=ax^2+bx+c y=a[x^2+b/a x]+c y=a[x^2+b/a x+(b/2a)^2-(b/2a)^2 ]+c y=a[(x+b/2a)^2-(b/2a)^2 ]+c y=a[(x+b/2a)^2-b^2/(4a^2 )]+c y=a(x+b/2a)^2-b^2/4a+c y=a(x+b/2a)^2+(〖-b〗^2+4ac)/4a Quadratic Functions Exam Review: • Quadratic Functions Exam Review MPM2D... Quadratic Function Exam Review: Q1. Simplify: and Q2. For what value of k does the equation y 5x2 + 6x + k have each number of roots? a. Two real roots b. One real root c. No real root Q3. Factor: 2x3 – 8x2 – 42x and (3a + 1)2 – (a – 1)2 Q4. Solve the equation: 3x2 – 13x – 10 = 0 Q5. Solve the equation: Q6. Graph y = 2x2 + 16x + 31 Q7. Determine the x-intercept of y = -0.5(x + 4)2 + 2 Q8. Express y = -3(x + 3)2 + 75 in factored form. Q9. Parabola has a y-intercept of -4 and pass through the points (-2, 8) and (1, -1). Determine the vertex of the parabola. Q10. What value of c will make the expression x2 – 8x + c a perfect square? Find the vertex and the y-intercept to get the equation of the parabola in vertex form.