2019年8月5日 · Axis of Symmetry: The parabola is symmetric about the y-axis, meaning if you fold the graph along the y-axis, both sides will match. Domain: The domain of y = x 2 is all real …

2020年1月21日 · x = y 2 − 7. Step-by-step explanation: We have been given an equation y = x 2 − 7. We are asked to determine that which equation can be simplified to find the inverse of our …

The roots of the function y = x2 + 2x - 3 are 1 and -3, found by solving for x using the quadratic formula. The turning point or vertex of the function is at (-1, -4), determined using the formula …

2023年10月12日 · y = − ∣ x − 2∣. y = x 2 + 2. Calculation Steps: Graph the quadratic equation y = x 2 + 2, which will be a parabola opening upwards with vertex at (0, 2). Graph the absolute value …

2017年10月31日 · To find the inverse of the function given by the equation y = x 2 − 36, we will start by swapping the roles of x and y in the equation. Here are the steps to follow: Replace y …

2018年2月8日 · The given function is ⇒⇒⇒ y = x² + 4x + 4 To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. …

So we can rewrite the equation as: y = (x 2 − 6 x + 9) − 9 + 18 This simplifies to: y = (x − 3) 2 + 9. Vertex form: Now we have the equation in vertex form, which is y = a (x − h) 2 + k where (h, k) …

y = x 2 − 3 x + 7 y = 3 x − 2. Since both equations equal y, we can set them equal to each other to find the value of x: x 2 − 3 x + 7 = 3 x − 2. Next, we will rearrange the equation: x 2 − 3 x − 3 x …

2022年3月15日 · Now we will find the corresponding y values for each x: For x = − 4: y = (− 4) 2 − 4 = 16 − 4 = 12 So, one solution is (− 4, 12). For x = 3: y = (3) 2 − 4 = 9 − 4 = 5 So, another …

2020年12月30日 · To correctly find the inverse, starting from x = y 2 + 12 y, we would rearrange it to: y 2 + 12 y − x = 0 and apply the quadratic formula: y = 2 − 12 ± 1 2 2 + 4 x = − 6 ± 36 + x . …