The axis of symmetry in the case of a parabola is defined as that line that passes through the vertex of the parabola and divides it into two equal halves. Here we will use the standard form of the parabola along with the standard result that is given below: y=ax2+bx+c;a≠0Axis ...
The graph appears to be symmetric with respect to the x-axis because for every point (x,y) on the graph, there is a point (x,-y).Support NumericallyA table of values supports this conjecture.Confirm AlgebraicallyBecause x-(-y)^2 =1 is equivalent to x-y^2=1, the graph is ...
Find the Axis of Symmetry y=2(x-2)^2-4y=2(x−2)2−4y=2(x-2)2-4 Use the vertex form, y=a(x−h)2+ky=a(x-h)2+k, to determine the values of aa, hh, and kk. a=2a=2 h=2h=2 k=−4k=-4Since the value of aa is positive, the parabola opens up. Opens Up...
$$y = ax^{2} + bx + c; \; \; \; a \neq 0 \\ \boxed {\text {Equation for the Axis of Symmetry} \; \; \Longrightarrow \; \; x = - \biggr( \dfrac {b}{2a} \biggr)} $$Answer and Explanation: {eq}\\ {/eq} {eq}y = 3x^{2} - 18x + 1 \; \; \; \...
What is the equation for the axis of symmetry of a quadratic function y = 3x² + 6x + 2? A. x = -1 B. x = -2 C. x = -3 D. x = -4 相关知识点: 试题来源: 解析 A。解析:For the function y = 3x² + 6x + 2, a = 3 and b = 6. Using the formula x = -b/...
A quadratic function has general form y = ax^2 + bx + c. The intercept form is y = a(x - p)(x - q), where p and q are the zeros of the function. What are the x-intercepts of a parabola? The x-intercepts of a parabola are the points on the x-axis through which the gra...
Examples of Neither If f(x) = -3x³ + 2x², determine if f(x) is even, odd, or neither. 1)Find f(-x). 2)f(-x) = -3(-x)³ + 2(-x)² = 3x³ + 2x² 3)Find –f(x). 4)-f(x) = 3x³ - 2x² 5)Because f(-x) ≠ f(x) and f(-x) ≠ -f(x...
It possesses Y-axis registration means and the symmetry of rotation form which doPROBLEM TO BE SOLVED: To easily adjust center height of an edged tool, whose tip is formed into a rotation symmetric shape, with high precision by forming a chuck part with a workpiece rotating means base and ...
(2)Let the point of intersection of the original parabola and the y-axis be B,and the vertexbe P.After the translation,the line of symmetry of the obtained parabola intersects thex-axis at point M.Find the area of△BPM.y0xDiagram for Question 2020 Translate a parabola y=ax 2+bx+c...
The axis of symmetry is always at x=-b/2a for a vertical parabola, while the y-intercept is the constant "c". Algebra 1 mostly deals with vertical parabolas, while algebra 2 introduces horizontal parabolas during the conic sections chapter. y=ax^2+bx+c is standard form of Vertical, wh...