Rhianna has a spinner, which is divided into four equal parts. The parts are numbered 1, 2, 3, and 4. If Rhianna spins the spinn
er and tosses a coin, which table shows all the possible outcomes? 4 1 H1 H H 2 H2 H2 3. H3 H3 H4 4. O T T 1 11 T1 2 T2 T2 3 T3 T3 T4 1 4 H T 2 T2 T2 3 H3 H3 H1 4 0 T 1 T1 H1 2 T2 H2 3 T3 H3 H4
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The parent function for quadratic equations is as followed:
where a for vertical stretches, b is for horizontal stretches, h is the x value of the vertex, and k is the y value of the vertex.
The vertex of the is (-3, -2), so we can write the first part of the equation:
To determine if the graph has any stretches, we can check how changes to the x coordinate affect the y value. If there are no stretches, as the x coordinate moves away from the vertex, the y coordinate should be x^2 from the vertex. If we test with a couple points on the graph, wee see that this is true, so there are no stretches. The answer is:
where a for vertical stretches, b is for horizontal stretches, h is the x value of the vertex, and k is the y value of the vertex.
The vertex of the is (-3, -2), so we can write the first part of the equation:
To determine if the graph has any stretches, we can check how changes to the x coordinate affect the y value. If there are no stretches, as the x coordinate moves away from the vertex, the y coordinate should be x^2 from the vertex. If we test with a couple points on the graph, wee see that this is true, so there are no stretches. The answer is: