Concept explainers
For the following exercises, enter the expressions into your graphing utility and find the zeroes to the equation (the x-intercepts) by using 2ndCALC 2:zero. Recall finding zeroes will ask left bound (move your cursor to the left of the zero, enter), then right bound (move your cursor to the right of the zero, enter), then guess (move your cursor between the bounds near the zero, enter). Round your answers to the nearest thousandth.
47. To solve the
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- For the following exercises, write the equation of the quadratic function that contains the given point and has the same shape as the given function. Contains (1,6) has the shape of f(x)=3x2. Vertex has x-coordinate of 1.arrow_forwardFor the following exercises, use your graphing calculator to input the linear graphs in the Y= graph menu. After graphing it, use the 2ndCALC button and 2:zero button, hit ENTER. At the lower part of the screen you will see “left bound?” and a blinking cursor on the graph of the line. Move this cursor to the left of the x-intercept, hit ENTER. Now it says “right bound?" Move the cursor to the right of the x-intercept, hit ENTER. Now it says “guess?” Move your cursor to the left somewhere in between the left and right bound near the x-intercept. Hit ENTER. At the bottom of your screen it will display the coordinates of the x-intercept or the “zero" to the y-value. Use this to find the x-intercept. Note: With linear/straight line functions the zero is not really a “guess,” but it is necessary to enter a “guess” so it will search and find the exact x-intercept between your right and left boundaries. With other types of functions (more than onex-intercept), they may be irrational numbers so “guess” is more appropriate to give it the correct limits to find a very close approximation between the left and right boundaries. 52.Y1=4x7arrow_forwardFor the following exercises, use your graphing calculator to input the linear graphs in the Y= graph menu. After graphing it, use the 2ndCALC button and 2:zero button, hit ENTER. At the lower part of the screen you will see “left bound?” and a blinking cursor on the graph of the line. Move this cursor to the left of the x-intercept, hit ENTER. Now it says “right bound?" Move the cursor to the right of the x-intercept, hit ENTER. Now it says “guess?” Move your cursor to the left somewhere in between the left and right bound near the x-intercept. Hit ENTER. At the bottom of your screen it will display the coordinates of the x-intercept or the “zero" to the y-value. Use this to find the x-intercept. Note: With linear/straight line functions the zero is not really a “guess,” but it is necessary to enter a “guess” so it will search and find the exact x-intercept between your right and left boundaries. With other types of functions (more than onex-intercept), they may be irrational numbers so “guess” is more appropriate to give it the correct limits to find a very close approximation between the left and right boundaries. 53.Y1=3x+54 Round your answer to the nearest thousandth.arrow_forward
- For the following exercises, use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of the quadratic function. (h,k)=(2,1),(x,y)=(4,3)arrow_forwardFor the following exercises, use your graphing calculator to input the linear graphs in the Y= graph menu. After graphing it, use the 2ndCALC button and 2:zero button, hit ENTER. At the lower part of the screen you will see “left bound?” and a blinking cursor on the graph of the line. Move this cursor to the left of the x-intercept, hit ENTER. Now it says “right bound?" Move the cursor to the right of the x-intercept, hit ENTER. Now it says “guess?” Move your cursor to the left somewhere in between the left and right bound near the x-intercept. Hit ENTER. At the bottom of your screen it will display the coordinates of the x-intercept or the “zero" to the y-value. Use this to find the x-intercept. Note: With linear/straight line functions the zero is not really a “guess,” but it is necessary to enter a “guess” so it will search and find the exact x-intercept between your right and left boundaries. With other types of functions (more than onex-intercept), they may be irrational numbers so “guess” is more appropriate to give it the correct limits to find a very close approximation between the left and right boundaries. 51.Y1=8x+6arrow_forwardFor the following exercises, enter the expressions into your graphing utility and find the zeroes to the equation (the x-intercepts) by using 2ndCALC 2:zero. Recall finding zeroes will ask left bound (move your cursor to the left of the zero, enter), then right bound (move your cursor to the right of the zero, enter), then guess (move your cursor between the bounds near the zero, enter). Round your answers to the nearest thousandth. 48. To solve the quadratic equation 0.3x2+2x4=2 , we can graph these two equations Y1=0.3x2+2x4 Y2=2 and find the points of intersection. Recall 2ndCALC 5:intersection. Do this and find the solutions to the nearest tenth.arrow_forward
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