There is a parabola with an a=0.5 and a vertex that is a minimum at (1,-8). What is the equation of the parabola in standard form? ( ) A. y=-0.5(x-8)(x+1) B. y=0.5x^2-x-7.5 C. y=0.5x^2-x-8 D. y=-0.5x^2+x+7.5 E. y=0.5x^2+x-7.5 相关知识点: 试题来源...
The graphs of two quadratic functions are given below. If a=10, find an equation for each. The graph of a quadratic function f is given. f(x) = -\frac{1}{2}x^2 - 2x + 6 Which of the following is the quadratic function whose graph is the parabola shown? (a) f(x) =...
The directrix of a parabola is an imaginary straight line perpendicular to the axis that passes through the focus of the parabola. The equation for this line is y=d, where d is equal to the distance between the focus and directrix. This means that when we look at any given point on ...
Thus, the form of the equation of the parabola is y−2=(x−3)2. Expanding this out, we find that c=11. The points given have the same y-value, so the vertex lies on the line x=2+42=3. The x-coordinate of the vertex is also equal to −b2a, so set this equal to 3 ...
What is a parabola? A parabola is a particular type of geometrical curve which, algebraically, corresponds to a quadratic equation. In geometrical terms, the parabola corresponds to the edge of slice of an inverted cone; this slice is what is called the conic "section". MathHelp.comIn...
Find the equation of the ellipse given: 1) Foci (0, \pm 5) 2) Vertices (0, \pm 8) What is the perimeter, area and volume of a dodecahedron with a edge of 4 mm? What is an inequality? How do you reflect a shape across the line y= -x+5 and then across the line y= -x+...
What is an equation? Is \pi a real number? Find the roots of x^2+3x-5 What is 2 to the power of -2? In the term x^y, which term is the exponent? Find the third root of 0.51199. What is 9 to the 7th power? What is ten to the zero power?
The graphical representation of a linear equation is a straight line, which can extend infinitely in both directions along the plane. Quadratic equations graph as parabolas, which can open upwards or downwards depending on the sign of the coefficient a. The parabola's vertex represents the maximum...
Domain & Range of a Function | Definition, Equation & Examples from Chapter 7 / Lesson 3 228K What are the domain and range of a function? What are the domain and range of the graph of a function? In this lesson, learn the definition of domain and range as it applies to functions...
例:What is the greatest prime factor of 2100 - 296? (A) 2(B) 3(C) 5(D) 7(E) 11例:A positive integer n is said to be “prime-saturated” if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two-digit pr...