1. what is the vertex of the parabola? a. (-1,0) b. (0, -3) c. (1, -4) d. (3, 0) 2. which of the following has a graph that is wider than the graph of y=3x^2+2? a. y=3x^2+3 b. y=0.5x^2+1 c. y=-4x^2-1 d.y=4x^2+1 3. which graph represents the unction y=-2x^2-5? 4. what is the order, form narrowest to widest graph, of the quadratic functions f(x)=-10x^2, f(x)=2x^2, f(x)=0.5x^2 a. f(x)=-10x^2, f(x)=2x^2, f(x)=0.5x^2 b. f(x)-2x^2, f(x)=-10x^2, f(x)=0.5x^2 c. f(x)=0.5x^2, f(x)=2x^2, f(x)=-10x^2 d. f(x)=0.5x62, f(x)=-10x^2, f(x)=2x^2

Without the pictures, the only questions we can answer are #2 and #4.

#2
Choice B is wider than the graph of y = 3x^2 + 2. In a quadratic function like this, the value in front of the x^2 controls the width. Any positive number smaller than 3 would be wider.

#4
Choice A has the correct order. Again, the value in front of the x^2 controls how wide or narrow the graph is. First, take the absolute value of each value. Then, place them in order from greatest to least. The greater the number the narrower the graph.

30 degrees

Angles ACB and CAB are both 75 degrees due to the fact that they are 90 degree angles subtracting the 15 degrees. Then add the two together and subtract from 180.